66824080607232 has 240 divisors, whose sum is σ = 214952249732220. Its totient is φ = 20561254907904.

The previous prime is 66824080607227. The next prime is 66824080607309. The reversal of 66824080607232 is 23270608042866.

66824080607232 is a `hidden beast` number, since 6 + 6 + 8 + 2 + 4 + 0 + 8 + 0 + 607 + 23 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 66743932732416 + 80147874816 = 8169696^2 + 283104^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 13336783 + ... + 17649870.

Almost surely, 2^{66824080607232} is an apocalyptic number.

It is an amenable number.

66824080607232 is an abundant number, since it is smaller than the sum of its proper divisors (148128169124988).

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

66824080607232 is a wasteful number, since it uses less digits than its factorization.

66824080607232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30986700 (or 30986671 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 66824080607232 in words is "sixty-six trillion, eight hundred twenty-four billion, eighty million, six hundred seven thousand, two hundred thirty-two".