5704625664000 has 1664 divisors, whose sum is σ = 22840859059200. Its totient is φ = 1399829299200.

The previous prime is 5704625663999. The next prime is 5704625664011. The reversal of 5704625664000 is 4665264075.

5704625664000 is a `hidden beast` number, since 5 + 7 + 0 + 46 + 2 + 566 + 40 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9718271707 + ... + 9718272293.

It is an arithmetic number, because the mean of its divisors is an integer number (13726477800).

Almost surely, 2^{5704625664000} is an apocalyptic number.

5704625664000 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 5704625664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11420429529600).

5704625664000 is an abundant number, since it is smaller than the sum of its proper divisors (17136233395200).

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

5704625664000 is a wasteful number, since it uses less digits than its factorization.

5704625664000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 691 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 5704625664000 in words is "five trillion, seven hundred four billion, six hundred twenty-five million, six hundred sixty-four thousand".