5664176900 has 18 divisors (see below), whose sum is σ = 12291264090. Its totient is φ = 2265670720.

The previous prime is 5664176897. The next prime is 5664176929. The reversal of 5664176900 is 96714665.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 1078991104 + 4585185796 = 32848^2 + 67714^2 .

It is a super-2 number, since 2×5664176900² = 64165799908987220000, which contains 22 as substring.

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, 28320785 + ... + 28320984.

It is an arithmetic number, because the mean of its divisors is an integer number (682848005).

Almost surely, 2^5664176900 is an apocalyptic number.

5664176900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5664176900 is an abundant number, since it is smaller than the sum of its proper divisors (6627087190).

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

5664176900 is a wasteful number, since it uses less digits than its factorization.

5664176900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56641783 (or 56641776 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 44.

The square root of 5664176900 is about 75260.7261458458. The cubic root of 5664176900 is about 1782.5659349018.

The spelling of 5664176900 in words is "five billion, six hundred sixty-four million, one hundred seventy-six thousand, nine hundred".