5664526434400 has 72 divisors (see below), whose sum is σ = 13883619375864. Its totient is φ = 2256783360000.

The previous prime is 5664526434377. The next prime is 5664526434439. The reversal of 5664526434400 is 44346254665.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13904097 + ... + 14305696.

It is an arithmetic number, because the mean of its divisors is an integer number (192828046887).

Almost surely, 2^{5664526434400} is an apocalyptic number.

5664526434400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5664526434400 is an abundant number, since it is smaller than the sum of its proper divisors (8219092941464).

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

5664526434400 is a wasteful number, since it uses less digits than its factorization.

5664526434400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28210064 (or 28210051 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 49.

The spelling of 5664526434400 in words is "five trillion, six hundred sixty-four billion, five hundred twenty-six million, four hundred thirty-four thousand, four hundred".