66590649950688 has 96 divisors (see below), whose sum is σ = 196883314538400. Its totient is φ = 21892816401408.

The previous prime is 66590649950677. The next prime is 66590649950701. The reversal of 66590649950688 is 88605994609566.

66590649950688 is a `hidden beast` number, since 6 + 65 + 9 + 0 + 6 + 49 + 9 + 506 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (81) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 527830843 + ... + 527956986.

It is an arithmetic number, because the mean of its divisors is an integer number (2050867859775).

Almost surely, 2^{66590649950688} is an apocalyptic number.

It is an amenable number.

66590649950688 is an abundant number, since it is smaller than the sum of its proper divisors (130292664587712).

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

66590649950688 is a wasteful number, since it uses less digits than its factorization.

66590649950688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1055787921 (or 1055787907 counting only the distinct ones).

The product of its (nonzero) digits is 6046617600, while the sum is 81.

The spelling of 66590649950688 in words is "sixty-six trillion, five hundred ninety billion, six hundred forty-nine million, nine hundred fifty thousand, six hundred eighty-eight".