6656431264704 has 1344 divisors, whose sum is σ = 23453350502400. Its totient is φ = 1785021235200.

The previous prime is 6656431264661. The next prime is 6656431264711. The reversal of 6656431264704 is 4074621346566.

It is a happy number.

6656431264704 is a `hidden beast` number, since 6 + 6 + 5 + 6 + 43 + 126 + 470 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9081079122 + ... + 9081079854.

It is an arithmetic number, because the mean of its divisors is an integer number (17450409600).

Almost surely, 2^{6656431264704} is an apocalyptic number.

6656431264704 is a gapful number since it is divisible by the number (64) 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 6656431264704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11726675251200).

6656431264704 is an abundant number, since it is smaller than the sum of its proper divisors (16796919237696).

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

6656431264704 is a wasteful number, since it uses less digits than its factorization.

6656431264704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 914 (or 901 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 54.

The spelling of 6656431264704 in words is "six trillion, six hundred fifty-six billion, four hundred thirty-one million, two hundred sixty-four thousand, seven hundred four".