616315928800 has 288 divisors, whose sum is σ = 1769148579744. Its totient is φ = 206696448000.

The previous prime is 616315928791. The next prime is 616315928801. The reversal of 616315928800 is 8829513616.

616315928800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (616315928801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 244471540 + ... + 244474060.

It is an arithmetic number, because the mean of its divisors is an integer number (6142877013).

Almost surely, 2^616315928800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 616315928800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (884574289872).

616315928800 is an abundant number, since it is smaller than the sum of its proper divisors (1152832650944).

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

616315928800 is a wasteful number, since it uses less digits than its factorization.

616315928800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4702 (or 4689 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 49.

The spelling of 616315928800 in words is "six hundred sixteen billion, three hundred fifteen million, nine hundred twenty-eight thousand, eight hundred".