616368211635904 has 448 divisors, whose sum is σ = 1541020657921024. Its totient is φ = 238124759040000.

The previous prime is 616368211635887. The next prime is 616368211635929. The reversal of 616368211635904 is 409536112863616.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (61).

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, 31558446619 + ... + 31558466149.

It is an arithmetic number, because the mean of its divisors is an integer number (3439778254288).

Almost surely, 2^{616368211635904} is an apocalyptic number.

616368211635904 is a gapful number since it is divisible by the number (64) 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 616368211635904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (770510328960512).

616368211635904 is an abundant number, since it is smaller than the sum of its proper divisors (924652446285120).

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

616368211635904 is a wasteful number, since it uses less digits than its factorization.

616368211635904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20256 (or 20246 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 61.

The spelling of 616368211635904 in words is "six hundred sixteen trillion, three hundred sixty-eight billion, two hundred eleven million, six hundred thirty-five thousand, nine hundred four".