5877393984 has 378 divisors, whose sum is σ = 21552949782. Its totient is φ = 1525708800.

The previous prime is 5877393979. The next prime is 5877394001. The reversal of 5877393984 is 4893937785.

It can be written as a sum of positive squares in only one way, i.e., 5464166400 + 413227584 = 73920^2 + 20328^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 3414244 + ... + 3415964.

Almost surely, 2^5877393984 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 5877393984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10776474891).

5877393984 is an abundant number, since it is smaller than the sum of its proper divisors (15675555798).

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

5877393984 is a wasteful number, since it uses less digits than its factorization.

5877393984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1775 (or 1744 counting only the distinct ones).

The product of its digits is 45722880, while the sum is 63.

The square root of 5877393984 is about 76664.1636229079. The cubic root of 5877393984 is about 1804.6580981877.

The spelling of 5877393984 in words is "five billion, eight hundred seventy-seven million, three hundred ninety-three thousand, nine hundred eighty-four".