5661632800 has 36 divisors (see below), whose sum is σ = 13821463026. Its totient is φ = 2264652800.

The previous prime is 5661632761. The next prime is 5661632891. The reversal of 5661632800 is 82361665.

It can be written as a sum of positive squares in 3 ways, for example, as 3574604944 + 2087027856 = 59788^2 + 45684^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 5661632800.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3537721 + ... + 3539320.

Almost surely, 2^5661632800 is an apocalyptic number.

5661632800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5661632800 is an abundant number, since it is smaller than the sum of its proper divisors (8159830226).

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

5661632800 is a wasteful number, since it uses less digits than its factorization.

5661632800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7077061 (or 7077048 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

The square root of 5661632800 is about 75243.8223377840. The cubic root of 5661632800 is about 1782.2990114386.

The spelling of 5661632800 in words is "five billion, six hundred sixty-one million, six hundred thirty-two thousand, eight hundred".