66332314024704 has 864 divisors, whose sum is σ = 247131640304640. Its totient is φ = 16630760374272.

The previous prime is 66332314024619. The next prime is 66332314024729. The reversal of 66332314024704 is 40742041323366.

66332314024704 is a `hidden beast` number, since 6 + 6 + 3 + 3 + 231 + 402 + 4 + 7 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 66332314024704.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 785988142 + ... + 786072530.

Almost surely, 2^{66332314024704} is an apocalyptic number.

66332314024704 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 66332314024704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123565820152320).

66332314024704 is an abundant number, since it is smaller than the sum of its proper divisors (180799326279936).

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

66332314024704 is a wasteful number, since it uses less digits than its factorization.

66332314024704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84617 (or 84600 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 45.

The spelling of 66332314024704 in words is "sixty-six trillion, three hundred thirty-two billion, three hundred fourteen million, twenty-four thousand, seven hundred four".