5644167120 has 60 divisors (see below), whose sum is σ = 18954996996. Its totient is φ = 1505111040.

The previous prime is 5644167119. The next prime is 5644167149. The reversal of 5644167120 is 217614465.

5644167120 is a `hidden beast` number, since 5 + 644 + 1 + 6 + 7 + 1 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3044390976 + 2599776144 = 55176^2 + 50988^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3918841 + ... + 3920280.

Almost surely, 2^5644167120 is an apocalyptic number.

It is an amenable number.

5644167120 is an abundant number, since it is smaller than the sum of its proper divisors (13310829876).

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

5644167120 is a wasteful number, since it uses less digits than its factorization.

5644167120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7839140 (or 7839131 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 5644167120 is about 75127.6721321778. The cubic root of 5644167120 is about 1780.4643740652.

It can be divided in two parts, 564416 and 7120, that added together give a square (571536 = 756²).

The spelling of 5644167120 in words is "five billion, six hundred forty-four million, one hundred sixty-seven thousand, one hundred twenty".