4967867520 has 768 divisors, whose sum is σ = 22363361280. Its totient is φ = 985374720.

The previous prime is 4967867491. The next prime is 4967867539. The reversal of 4967867520 is 257687694.

4967867520 is a `hidden beast` number, since 49 + 6 + 78 + 6 + 7 + 520 = 666.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 10200717 + ... + 10201203.

It is an arithmetic number, because the mean of its divisors is an integer number (29118960).

Almost surely, 2^4967867520 is an apocalyptic number.

4967867520 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 4967867520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11181680640).

4967867520 is an abundant number, since it is smaller than the sum of its proper divisors (17395493760).

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

4967867520 is a wasteful number, since it uses less digits than its factorization.

4967867520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The square root of 4967867520 is about 70483.1009533491. The cubic root of 4967867520 is about 1706.3050204856.

The spelling of 4967867520 in words is "four billion, nine hundred sixty-seven million, eight hundred sixty-seven thousand, five hundred twenty".