70664642677872 has 240 divisors, whose sum is σ = 220127780920320. Its totient is φ = 21068590924800.

The previous prime is 70664642677847. The next prime is 70664642677879. The reversal of 70664642677872 is 27877624646607.

70664642677872 is a `hidden beast` number, since 7 + 0 + 6 + 6 + 464 + 26 + 7 + 78 + 72 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 70664642677872.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70664642677879) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6682938 + ... + 13637849.

It is an arithmetic number, because the mean of its divisors is an integer number (917199087168).

Almost surely, 2^{70664642677872} is an apocalyptic number.

70664642677872 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

70664642677872 is an abundant number, since it is smaller than the sum of its proper divisors (149463138242448).

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

70664642677872 is a wasteful number, since it uses less digits than its factorization.

70664642677872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20320892 (or 20320883 counting only the distinct ones).

The product of its (nonzero) digits is 1593188352, while the sum is 72.

The spelling of 70664642677872 in words is "seventy trillion, six hundred sixty-four billion, six hundred forty-two million, six hundred seventy-seven thousand, eight hundred seventy-two".