657664295680 has 864 divisors, whose sum is σ = 2032988170752. Its totient is φ = 202309632000.

The previous prime is 657664295633. The next prime is 657664295713. The reversal of 657664295680 is 86592466756.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3338397342 + ... + 3338397538.

It is an arithmetic number, because the mean of its divisors is an integer number (2352995568).

Almost surely, 2^657664295680 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 657664295680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1016494085376).

657664295680 is an abundant number, since it is smaller than the sum of its proper divisors (1375323875072).

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

657664295680 is a wasteful number, since it uses less digits than its factorization.

657664295680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 130636800, while the sum is 64.

The spelling of 657664295680 in words is "six hundred fifty-seven billion, six hundred sixty-four million, two hundred ninety-five thousand, six hundred eighty".