5976806400 has 264 divisors, whose sum is σ = 21951045440. Its totient is φ = 1593630720.

The previous prime is 5976806389. The next prime is 5976806461. The reversal of 5976806400 is 46086795.

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 23 ways as a sum of consecutive naturals, for example, 686877 + ... + 695523.

Almost surely, 2^5976806400 is an apocalyptic number.

5976806400 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 5976806400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10975522720).

5976806400 is an abundant number, since it is smaller than the sum of its proper divisors (15974239040).

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

5976806400 is a wasteful number, since it uses less digits than its factorization.

5976806400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8686 (or 8657 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 5976806400 is about 77309.8079159430. The cubic root of 5976806400 is about 1814.7761488834.

The spelling of 5976806400 in words is "five billion, nine hundred seventy-six million, eight hundred six thousand, four hundred".