5645948574800 has 120 divisors (see below), whose sum is σ = 14157406602360. Its totient is φ = 2161725030400.

The previous prime is 5645948574743. The next prime is 5645948574803. The reversal of 5645948574800 is 84758495465.

It can be written as a sum of positive squares in 12 ways, for example, as 3188353075216 + 2457595499584 = 1785596^2 + 1567672^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5645948574803) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2378585 + ... + 4116984.

It is an arithmetic number, because the mean of its divisors is an integer number (117978388353).

Almost surely, 2^{5645948574800} is an apocalyptic number.

5645948574800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5645948574800 is an abundant number, since it is smaller than the sum of its proper divisors (8511458027560).

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

5645948574800 is a wasteful number, since it uses less digits than its factorization.

5645948574800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6495681 (or 6495670 counting only the distinct ones).

The product of its (nonzero) digits is 193536000, while the sum is 65.

The spelling of 5645948574800 in words is "five trillion, six hundred forty-five billion, nine hundred forty-eight million, five hundred seventy-four thousand, eight hundred".