616793318400 has 1056 divisors, whose sum is σ = 2464430266368. Its totient is φ = 133005312000.

The previous prime is 616793318363. The next prime is 616793318411. The reversal of 616793318400 is 4813397616.

It is a happy number.

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 616793318400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1026278100 + ... + 1026278700.

Almost surely, 2^616793318400 is an apocalyptic number.

616793318400 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 616793318400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1232215133184).

616793318400 is an abundant number, since it is smaller than the sum of its proper divisors (1847636947968).

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

616793318400 is a wasteful number, since it uses less digits than its factorization.

616793318400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 747 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The spelling of 616793318400 in words is "six hundred sixteen billion, seven hundred ninety-three million, three hundred eighteen thousand, four hundred".