6712664736960 has 2688 divisors, whose sum is σ = 30920079310848. Its totient is φ = 1348171776000.

The previous prime is 6712664736937. The next prime is 6712664736977. The reversal of 6712664736960 is 696374662176.

6712664736960 is a `hidden beast` number, since 6 + 7 + 1 + 266 + 4 + 7 + 369 + 6 + 0 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 15574627945 + ... + 15574628375.

It is an arithmetic number, because the mean of its divisors is an integer number (11503005696).

Almost surely, 2^{6712664736960} is an apocalyptic number.

6712664736960 is a gapful number since it is divisible by the number (60) 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 6712664736960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15460039655424).

6712664736960 is an abundant number, since it is smaller than the sum of its proper divisors (24207414573888).

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

6712664736960 is a wasteful number, since it uses less digits than its factorization.

6712664736960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 585 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 82301184, while the sum is 63.

The spelling of 6712664736960 in words is "six trillion, seven hundred twelve billion, six hundred sixty-four million, seven hundred thirty-six thousand, nine hundred sixty".