79217218772640 has 288 divisors, whose sum is σ = 296057575981440. Its totient is φ = 19169120729088.

The previous prime is 79217218772603. The next prime is 79217218772651. The reversal of 79217218772640 is 4627781271297.

79217218772640 is a `hidden beast` number, since 7 + 92 + 1 + 7 + 218 + 77 + 264 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

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, 34757292 + ... + 36966251.

It is an arithmetic number, because the mean of its divisors is an integer number (1027977694380).

Almost surely, 2^{79217218772640} is an apocalyptic number.

It is an amenable number.

79217218772640 is an abundant number, since it is smaller than the sum of its proper divisors (216840357208800).

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

79217218772640 is a wasteful number, since it uses less digits than its factorization.

79217218772640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71723636 (or 71723625 counting only the distinct ones).

The product of its (nonzero) digits is 33191424, while the sum is 63.

The spelling of 79217218772640 in words is "seventy-nine trillion, two hundred seventeen billion, two hundred eighteen million, seven hundred seventy-two thousand, six hundred forty".