5616936000 has 672 divisors, whose sum is σ = 22976055648. Its totient is φ = 1297612800.

The previous prime is 5616935959. The next prime is 5616936011. The reversal of 5616936000 is 6396165.

5616936000 is a `hidden beast` number, since 5 + 616 + 9 + 36 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 4429168704 + 1187767296 = 66552^2 + 34464^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15911824 + ... + 15912176.

It is an arithmetic number, because the mean of its divisors is an integer number (34190559).

Almost surely, 2^5616936000 is an apocalyptic number.

5616936000 is a gapful number since it is divisible by the number (50) 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 5616936000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11488027824).

5616936000 is an abundant number, since it is smaller than the sum of its proper divisors (17359119648).

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

5616936000 is a wasteful number, since it uses less digits than its factorization.

5616936000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 5616936000 is about 74946.2207185926. The cubic root of 5616936000 is about 1777.5963854278.

The spelling of 5616936000 in words is "five billion, six hundred sixteen million, nine hundred thirty-six thousand".