5610772800 has 252 divisors, whose sum is σ = 20682037376. Its totient is φ = 1496102400.

The previous prime is 5610772787. The next prime is 5610772823. The reversal of 5610772800 is 82770165.

5610772800 is a `hidden beast` number, since 561 + 0 + 77 + 28 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 381585 + ... + 396015.

Almost surely, 2^5610772800 is an apocalyptic number.

5610772800 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 5610772800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10341018688).

5610772800 is an abundant number, since it is smaller than the sum of its proper divisors (15071264576).

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

5610772800 is a wasteful number, since it uses less digits than its factorization.

5610772800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14468 (or 14441 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 5610772800 is about 74905.0919497466. The cubic root of 5610772800 is about 1776.9459898183.

The spelling of 5610772800 in words is "five billion, six hundred ten million, seven hundred seventy-two thousand, eight hundred".