64507052160 has 512 divisors, whose sum is σ = 244978214400. Its totient is φ = 16184033280.

The previous prime is 64507052131. The next prime is 64507052249. The reversal of 64507052160 is 6125070546.

It is a happy number.

64507052160 is a `hidden beast` number, since 6 + 4 + 5 + 0 + 70 + 521 + 60 = 666.

It is a super-2 number, since 2×64507052160² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 23793205 + ... + 23795915.

It is an arithmetic number, because the mean of its divisors is an integer number (478473075).

Almost surely, 2^64507052160 is an apocalyptic number.

64507052160 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 64507052160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122489107200).

64507052160 is an abundant number, since it is smaller than the sum of its proper divisors (180471162240).

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

64507052160 is an equidigital number, since it uses as much as digits as its factorization.

64507052160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2768 (or 2738 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 64507052160 in words is "sixty-four billion, five hundred seven million, fifty-two thousand, one hundred sixty".