664140769129656 has 288 divisors, whose sum is σ = 2326022975203200. Its totient is φ = 169507746455040.

The previous prime is 664140769129631. The next prime is 664140769129729. The reversal of 664140769129656 is 656921967041466.

664140769129656 is a `hidden beast` number, since 6 + 6 + 41 + 407 + 6 + 9 + 129 + 6 + 56 = 666.

It is a super-2 number, since 2×664140769129656² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 232137171 + ... + 234980738.

It is an arithmetic number, because the mean of its divisors is an integer number (8076468663900).

Almost surely, 2^{664140769129656} is an apocalyptic number.

It is an amenable number.

664140769129656 is an abundant number, since it is smaller than the sum of its proper divisors (1661882206073544).

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

664140769129656 is a wasteful number, since it uses less digits than its factorization.

664140769129656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467117979 (or 467117965 counting only the distinct ones).

The product of its (nonzero) digits is 705438720, while the sum is 72.

The spelling of 664140769129656 in words is "six hundred sixty-four trillion, one hundred forty billion, seven hundred sixty-nine million, one hundred twenty-nine thousand, six hundred fifty-six".