6656656694688 has 3840 divisors, whose sum is σ = 30096628531200. Its totient is φ = 1392782376960.

The previous prime is 6656656694617. The next prime is 6656656694717. The reversal of 6656656694688 is 8864966566566.

6656656694688 is a `hidden beast` number, since 6 + 6 + 5 + 6 + 6 + 566 + 9 + 46 + 8 + 8 = 666.

It is a super-2 number, since 2×6656656694688² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

Its product of digits (16124313600) is a multiple of the sum of its prime factors (162).

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 141630993481 + ... + 141630993527.

It is an arithmetic number, because the mean of its divisors is an integer number (7837663680).

Almost surely, 2^{6656656694688} is an apocalyptic number.

6656656694688 is a gapful number since it is divisible by the number (68) 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 6656656694688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15048314265600).

6656656694688 is an abundant number, since it is smaller than the sum of its proper divisors (23439971836512).

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

6656656694688 is a wasteful number, since it uses less digits than its factorization.

6656656694688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 119 counting only the distinct ones).

The product of its digits is 16124313600, while the sum is 81.

The spelling of 6656656694688 in words is "six trillion, six hundred fifty-six billion, six hundred fifty-six million, six hundred ninety-four thousand, six hundred eighty-eight".