5685076800 has 672 divisors, whose sum is σ = 22858536960. Its totient is φ = 1365811200.

The previous prime is 5685076781. The next prime is 5685076847. The reversal of 5685076800 is 86705865.

5685076800 is a `hidden beast` number, since 5 + 68 + 507 + 6 + 80 + 0 = 666.

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29764705 + ... + 29764895.

It is an arithmetic number, because the mean of its divisors is an integer number (34015680).

Almost surely, 2^5685076800 is an apocalyptic number.

5685076800 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 5685076800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11429268480).

5685076800 is an abundant number, since it is smaller than the sum of its proper divisors (17173460160).

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

5685076800 is a wasteful number, since it uses less digits than its factorization.

5685076800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The square root of 5685076800 is about 75399.4482738435. The cubic root of 5685076800 is about 1784.7557041562.

The spelling of 5685076800 in words is "five billion, six hundred eighty-five million, seventy-six thousand, eight hundred".