655816996800 has 2688 divisors, whose sum is σ = 3085902489600. Its totient is φ = 132038000640.

The previous prime is 655816996763. The next prime is 655816996819. The reversal of 655816996800 is 8699618556.

655816996800 is a `hidden beast` number, since 6 + 558 + 16 + 9 + 9 + 68 + 0 + 0 = 666.

655816996800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 7901409559 + ... + 7901409641.

It is an arithmetic number, because the mean of its divisors is an integer number (1148029200).

Almost surely, 2^655816996800 is an apocalyptic number.

655816996800 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 655816996800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1542951244800).

655816996800 is an abundant number, since it is smaller than the sum of its proper divisors (2430085492800).

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

655816996800 is a wasteful number, since it uses less digits than its factorization.

655816996800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 27993600, while the sum is 63.

The spelling of 655816996800 in words is "six hundred fifty-five billion, eight hundred sixteen million, nine hundred ninety-six thousand, eight hundred".