5680452960 has 576 divisors, whose sum is σ = 24251415552. Its totient is φ = 1178800128.

The previous prime is 5680452937. The next prime is 5680452983. The reversal of 5680452960 is 692540865.

5680452960 is a `hidden beast` number, since 5 + 68 + 0 + 4 + 529 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (5680452937) and next prime (5680452983).

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, 8779357 + ... + 8780003.

It is an arithmetic number, because the mean of its divisors is an integer number (42103152).

Almost surely, 2^5680452960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5680452960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12125707776).

5680452960 is an abundant number, since it is smaller than the sum of its proper divisors (18570962592).

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

5680452960 is a wasteful number, since it uses less digits than its factorization.

5680452960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 755 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 5680452960 is about 75368.7797433394. The cubic root of 5680452960 is about 1784.2717081652.

The spelling of 5680452960 in words is "five billion, six hundred eighty million, four hundred fifty-two thousand, nine hundred sixty".