64855657152 has 448 divisors, whose sum is σ = 237188044800. Its totient is φ = 17073192960.

The previous prime is 64855657151. The next prime is 64855657187. The reversal of 64855657152 is 25175655846.

64855657152 is a `hidden beast` number, since 6 + 4 + 8 + 5 + 565 + 71 + 5 + 2 = 666.

It is a super-2 number, since 2×64855657152² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (64855657151) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 4193049 + ... + 4208487.

It is an arithmetic number, because the mean of its divisors is an integer number (529437600).

Almost surely, 2^64855657152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64855657152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118594022400).

64855657152 is an abundant number, since it is smaller than the sum of its proper divisors (172332387648).

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

64855657152 is a wasteful number, since it uses less digits than its factorization.

64855657152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15501 (or 15485 counting only the distinct ones).

The product of its digits is 10080000, while the sum is 54.

The spelling of 64855657152 in words is "sixty-four billion, eight hundred fifty-five million, six hundred fifty-seven thousand, one hundred fifty-two".