653937560496 has 480 divisors, whose sum is σ = 2167637262336. Its totient is φ = 189042336000.

The previous prime is 653937560483. The next prime is 653937560503. The reversal of 653937560496 is 694065739356.

653937560496 is a `hidden beast` number, since 6 + 5 + 3 + 93 + 7 + 56 + 0 + 496 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 94128895 + ... + 94135841.

Almost surely, 2^653937560496 is an apocalyptic number.

653937560496 is a gapful number since it is divisible by the number (66) 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 653937560496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1083818631168).

653937560496 is an abundant number, since it is smaller than the sum of its proper divisors (1513699701840).

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

653937560496 is a wasteful number, since it uses less digits than its factorization.

653937560496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7083 (or 7065 counting only the distinct ones).

The product of its (nonzero) digits is 110224800, while the sum is 63.

The spelling of 653937560496 in words is "six hundred fifty-three billion, nine hundred thirty-seven million, five hundred sixty thousand, four hundred ninety-six".