5977944000 has 672 divisors, whose sum is σ = 25343510400. Its totient is φ = 1316044800.

The previous prime is 5977943999. The next prime is 5977944023. The reversal of 5977944000 is 4497795.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14615796 + ... + 14616204.

Almost surely, 2^5977944000 is an apocalyptic number.

5977944000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5977944000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12671755200).

5977944000 is an abundant number, since it is smaller than the sum of its proper divisors (19365566400).

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

5977944000 is a wasteful number, since it uses less digits than its factorization.

5977944000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 5977944000 is about 77317.1649764785. The cubic root of 5977944000 is about 1814.8912805128.

The spelling of 5977944000 in words is "five billion, nine hundred seventy-seven million, nine hundred forty-four thousand".