652314604032 has 720 divisors, whose sum is σ = 2467204945920. Its totient is φ = 161896071168.

The previous prime is 652314604009. The next prime is 652314604033. The reversal of 652314604032 is 230406413256.

652314604032 is a `hidden beast` number, since 6 + 5 + 2 + 3 + 14 + 604 + 0 + 32 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (652314604033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 92667969 + ... + 92675007.

It is an arithmetic number, because the mean of its divisors is an integer number (3426673536).

Almost surely, 2^652314604032 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 652314604032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1233602472960).

652314604032 is an abundant number, since it is smaller than the sum of its proper divisors (1814890341888).

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

652314604032 is a wasteful number, since it uses less digits than its factorization.

652314604032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7113 (or 7081 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 652314604032 in words is "six hundred fifty-two billion, three hundred fourteen million, six hundred four thousand, thirty-two".