5679508800 has 336 divisors, whose sum is σ = 21796239872. Its totient is φ = 1267660800.

The previous prime is 5679508781. The next prime is 5679508819. The reversal of 5679508800 is 88059765.

It is an interprime number because it is at equal distance from previous prime (5679508781) and next prime (5679508819).

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 5679508800.

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 47 ways as a sum of consecutive naturals, for example, 1442835 + ... + 1446765.

Almost surely, 2^5679508800 is an apocalyptic number.

5679508800 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 5679508800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10898119936).

5679508800 is an abundant number, since it is smaller than the sum of its proper divisors (16116731072).

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

5679508800 is a wasteful number, since it uses less digits than its factorization.

5679508800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4006 (or 3991 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 48.

The square root of 5679508800 is about 75362.5158815707. The cubic root of 5679508800 is about 1784.1728468401.

The spelling of 5679508800 in words is "five billion, six hundred seventy-nine million, five hundred eight thousand, eight hundred".