652718056000 has 224 divisors, whose sum is σ = 1647283004640. Its totient is φ = 256131072000.

The previous prime is 652718055989. The next prime is 652718056013. The reversal of 652718056000 is 650817256.

It can be written as a sum of positive squares in 16 ways, for example, as 596886037056 + 55832018944 = 772584^2 + 236288^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

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 31 ways as a sum of consecutive naturals, for example, 211302456 + ... + 211305544.

It is an arithmetic number, because the mean of its divisors is an integer number (7353941985).

Almost surely, 2^652718056000 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 652718056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (823641502320).

652718056000 is an abundant number, since it is smaller than the sum of its proper divisors (994564948640).

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

652718056000 is a wasteful number, since it uses less digits than its factorization.

652718056000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3610 (or 3590 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 40.

The spelling of 652718056000 in words is "six hundred fifty-two billion, seven hundred eighteen million, fifty-six thousand".