4968371520 has 560 divisors, whose sum is σ = 20446715520. Its totient is φ = 1121734656.

The previous prime is 4968371479. The next prime is 4968371521. The reversal of 4968371520 is 251738694.

4968371520 is a `hidden beast` number, since 4 + 96 + 8 + 37 + 1 + 520 = 666.

4968371520 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (560).

It is a super-2 number, since 2×4968371520² = 49369431121494220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

4968371520 is strictly pandigital in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4968371521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 25220062 + ... + 25220258.

It is an arithmetic number, because the mean of its divisors is an integer number (36511992).

It is a 1-persistent number, because it is pandigital, but 2⋅4968371520 = 9936743040 is not.

Almost surely, 2^4968371520 is an apocalyptic number.

4968371520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4968371520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10223357760).

4968371520 is an abundant number, since it is smaller than the sum of its proper divisors (15478344000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4968371520 is a wasteful number, since it uses less digits than its factorization.

4968371520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 4968371520 is about 70486.6761877732. The cubic root of 4968371520 is about 1706.3627212090.

The spelling of 4968371520 in words is "four billion, nine hundred sixty-eight million, three hundred seventy-one thousand, five hundred twenty".