616562918400 has 1056 divisors, whose sum is σ = 2472617742336. Its totient is φ = 133447680000.

The previous prime is 616562918351. The next prime is 616562918417. The reversal of 616562918400 is 4819265616.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a super-3 number, since 3×616562918400³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 616562918400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 340453495 + ... + 340455305.

Almost surely, 2^616562918400 is an apocalyptic number.

616562918400 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 616562918400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1236308871168).

616562918400 is an abundant number, since it is smaller than the sum of its proper divisors (1856054823936).

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

616562918400 is a wasteful number, since it uses less digits than its factorization.

616562918400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1899 (or 1876 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 48.

The spelling of 616562918400 in words is "six hundred sixteen billion, five hundred sixty-two million, nine hundred eighteen thousand, four hundred".