5685680000 has 640 divisors, whose sum is σ = 19271831040. Its totient is φ = 1612800000.

The previous prime is 5685679997. The next prime is 5685680053. The reversal of 5685680000 is 865865.

It is a tau number, because it is divible by the number of its divisors (640).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 80079965 + ... + 80080035.

It is an arithmetic number, because the mean of its divisors is an integer number (30112236).

Almost surely, 2^5685680000 is an apocalyptic number.

5685680000 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 5685680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9635915520).

5685680000 is an abundant number, since it is smaller than the sum of its proper divisors (13586151040).

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

5685680000 is a wasteful number, since it uses less digits than its factorization.

5685680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 38.

The square root of 5685680000 is about 75403.4481970155. The cubic root of 5685680000 is about 1784.8188241812.

It can be divided in two parts, 568 and 5680000, that multiplied together give a square (3226240000 = 56800²).

The spelling of 5685680000 in words is "five billion, six hundred eighty-five million, six hundred eighty thousand".