79966345616640 has 288 divisors, whose sum is σ = 324307958204160. Its totient is φ = 18278021799936.

The previous prime is 79966345616629. The next prime is 79966345616659. The reversal of 79966345616640 is 4661654366997.

79966345616640 is a `hidden beast` number, since 7 + 9 + 9 + 6 + 6 + 3 + 456 + 166 + 4 + 0 = 666.

79966345616640 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

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 31 ways as a sum of consecutive naturals, for example, 165032439 + ... + 165516278.

It is an arithmetic number, because the mean of its divisors is an integer number (1126069299320).

Almost surely, 2^{79966345616640} is an apocalyptic number.

79966345616640 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

79966345616640 is an abundant number, since it is smaller than the sum of its proper divisors (244341612587520).

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

79966345616640 is a wasteful number, since it uses less digits than its factorization.

79966345616640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330548754 (or 330548734 counting only the distinct ones).

The product of its (nonzero) digits is 1058158080, while the sum is 72.

The spelling of 79966345616640 in words is "seventy-nine trillion, nine hundred sixty-six billion, three hundred forty-five million, six hundred sixteen thousand, six hundred forty".