656654746968 has 320 divisors, whose sum is σ = 2038846360320. Its totient is φ = 195784646400.

The previous prime is 656654746949. The next prime is 656654746981. The reversal of 656654746968 is 869647456656.

656654746968 is a `hidden beast` number, since 6 + 5 + 6 + 65 + 47 + 469 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 656654746896 and 656654746905.

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, 330474471 + ... + 330476457.

It is an arithmetic number, because the mean of its divisors is an integer number (6371394876).

Almost surely, 2^656654746968 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 656654746968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1019423180160).

656654746968 is an abundant number, since it is smaller than the sum of its proper divisors (1382191613352).

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

656654746968 is a wasteful number, since it uses less digits than its factorization.

656654746968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2740 (or 2727 counting only the distinct ones).

The product of its digits is 1567641600, while the sum is 72.

The spelling of 656654746968 in words is "six hundred fifty-six billion, six hundred fifty-four million, seven hundred forty-six thousand, nine hundred sixty-eight".