64057799520 has 576 divisors, whose sum is σ = 260702717184. Its totient is φ = 14117621760.

The previous prime is 64057799513. The next prime is 64057799543. The reversal of 64057799520 is 2599775046.

64057799520 is a `hidden beast` number, since 6 + 40 + 5 + 7 + 79 + 9 + 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 (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13794319 + ... + 13798961.

It is an arithmetic number, because the mean of its divisors is an integer number (452608884).

Almost surely, 2^64057799520 is an apocalyptic number.

64057799520 is a gapful number since it is divisible by the number (60) 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 64057799520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130351358592).

64057799520 is an abundant number, since it is smaller than the sum of its proper divisors (196644917664).

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

64057799520 is a wasteful number, since it uses less digits than its factorization.

64057799520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4755 (or 4744 counting only the distinct ones).

The product of its (nonzero) digits is 4762800, while the sum is 54.

The spelling of 64057799520 in words is "sixty-four billion, fifty-seven million, seven hundred ninety-nine thousand, five hundred twenty".