64152660312 has 320 divisors, whose sum is σ = 200551982400. Its totient is φ = 19032330240.

The previous prime is 64152660301. The next prime is 64152660337. The reversal of 64152660312 is 21306625146.

64152660312 is a `hidden beast` number, since 6 + 4 + 15 + 26 + 603 + 12 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 30738133 + ... + 30740219.

It is an arithmetic number, because the mean of its divisors is an integer number (626724945).

Almost surely, 2^64152660312 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 64152660312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100275991200).

64152660312 is an abundant number, since it is smaller than the sum of its proper divisors (136399322088).

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

64152660312 is a wasteful number, since it uses less digits than its factorization.

64152660312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2248 (or 2235 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 64152660312 in words is "sixty-four billion, one hundred fifty-two million, six hundred sixty thousand, three hundred twelve".