5877436320 has 432 divisors, whose sum is σ = 24092909568. Its totient is φ = 1299594240.

The previous prime is 5877436297. The next prime is 5877436321. The reversal of 5877436320 is 236347785.

5877436320 is a `hidden beast` number, since 5 + 8 + 7 + 7 + 4 + 3 + 632 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (5877436321) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2186017 + ... + 2188703.

It is an arithmetic number, because the mean of its divisors is an integer number (55770624).

Almost surely, 2^5877436320 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 5877436320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12046454784).

5877436320 is an abundant number, since it is smaller than the sum of its proper divisors (18215473248).

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

5877436320 is a wasteful number, since it uses less digits than its factorization.

5877436320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2753 (or 2735 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The square root of 5877436320 is about 76664.4397357732. The cubic root of 5877436320 is about 1804.6624312771.

The spelling of 5877436320 in words is "five billion, eight hundred seventy-seven million, four hundred thirty-six thousand, three hundred twenty".