5644007506944 has 495 divisors, whose sum is σ = 17240711608263. Its totient is φ = 1839143190528.

The previous prime is 5644007506801. The next prime is 5644007507023. The reversal of 5644007506944 is 4496057004465.

The square root of 5644007506944 is 2375712.

It is a perfect power (a square), and thus also a powerful number.

5644007506944 is a `hidden beast` number, since 5 + 6 + 4 + 40 + 0 + 7 + 506 + 94 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1717903033344 + 3926104473600 = 1310688^2 + 1981440^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 49946969032 + ... + 49946969144.

Almost surely, 2^{5644007506944} is an apocalyptic number.

5644007506944 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

5644007506944 is the 2375712-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5644007506944

5644007506944 is an abundant number, since it is smaller than the sum of its proper divisors (11596704101319).

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

5644007506944 is an frugal number, since it uses more digits than its factorization.

5644007506944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 5644007506944 in words is "five trillion, six hundred forty-four billion, seven million, five hundred six thousand, nine hundred forty-four".