5872164480 has 768 divisors, whose sum is σ = 26464838400. Its totient is φ = 1164312576.

The previous prime is 5872164469. The next prime is 5872164503. The reversal of 5872164480 is 844612785.

5872164480 is a `hidden beast` number, since 5 + 8 + 7 + 2 + 164 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8910391 + ... + 8911049.

It is an arithmetic number, because the mean of its divisors is an integer number (34459425).

Almost surely, 2^5872164480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5872164480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13232419200).

5872164480 is an abundant number, since it is smaller than the sum of its proper divisors (20592673920).

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

5872164480 is a wasteful number, since it uses less digits than its factorization.

5872164480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 721 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 5872164480 is about 76630.0494584207. The cubic root of 5872164480 is about 1804.1226983603.

It can be divided in two parts, 58721 and 64480, that added together give a square (123201 = 351²).

The spelling of 5872164480 in words is "five billion, eight hundred seventy-two million, one hundred sixty-four thousand, four hundred eighty".