5576032800 has 432 divisors, whose sum is σ = 21706376328. Its totient is φ = 1338163200.

The previous prime is 5576032757. The next prime is 5576032879. The reversal of 5576032800 is 82306755.

5576032800 is a `hidden beast` number, since 5 + 576 + 0 + 3 + 2 + 80 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 42458256 + 5533574544 = 6516^2 + 74388^2 .

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 71 ways as a sum of consecutive naturals, for example, 3836874 + ... + 3838326.

Almost surely, 2^5576032800 is an apocalyptic number.

5576032800 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 5576032800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10853188164).

5576032800 is an abundant number, since it is smaller than the sum of its proper divisors (16130343528).

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

5576032800 is a wasteful number, since it uses less digits than its factorization.

5576032800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1533 (or 1517 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 5576032800 is about 74672.8384354043. The cubic root of 5576032800 is about 1773.2709791456.

The spelling of 5576032800 in words is "five billion, five hundred seventy-six million, thirty-two thousand, eight hundred".