4959601920 has 1152 divisors, whose sum is σ = 23075942400. Its totient is φ = 979402752.

The previous prime is 4959601861. The next prime is 4959601921. The reversal of 4959601920 is 291069594.

4959601920 is a `hidden beast` number, since 49 + 596 + 0 + 19 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4959601921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 59754199 + ... + 59754281.

It is an arithmetic number, because the mean of its divisors is an integer number (20031200).

Almost surely, 2^4959601920 is an apocalyptic number.

4959601920 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 4959601920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11537971200).

4959601920 is an abundant number, since it is smaller than the sum of its proper divisors (18116340480).

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

4959601920 is a wasteful number, since it uses less digits than its factorization.

4959601920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The square root of 4959601920 is about 70424.4412118407. The cubic root of 4959601920 is about 1705.3581712997.

The spelling of 4959601920 in words is "four billion, nine hundred fifty-nine million, six hundred one thousand, nine hundred twenty".