652996995840 has 576 divisors, whose sum is σ = 2653968844800. Its totient is φ = 148935131136.

The previous prime is 652996995809. The next prime is 652996995869. The reversal of 652996995840 is 48599699256.

652996995840 is a `hidden beast` number, since 6 + 529 + 9 + 6 + 9 + 9 + 58 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 123134629 + ... + 123139931.

It is an arithmetic number, because the mean of its divisors is an integer number (4607584800).

Almost surely, 2^652996995840 is an apocalyptic number.

652996995840 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 652996995840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1326984422400).

652996995840 is an abundant number, since it is smaller than the sum of its proper divisors (2000971848960).

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

652996995840 is a wasteful number, since it uses less digits than its factorization.

652996995840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5849 (or 5829 counting only the distinct ones).

The product of its (nonzero) digits is 377913600, while the sum is 72.

The spelling of 652996995840 in words is "six hundred fifty-two billion, nine hundred ninety-six million, nine hundred ninety-five thousand, eight hundred forty".