79507641692160 has 1248 divisors, whose sum is σ = 328195666955520. Its totient is φ = 18259889356800.

The previous prime is 79507641692107. The next prime is 79507641692203. The reversal of 79507641692160 is 6129614670597.

79507641692160 is a `hidden beast` number, since 7 + 9 + 5 + 0 + 76 + 416 + 92 + 1 + 60 = 666.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 1040079540 + ... + 1040155980.

It is an arithmetic number, because the mean of its divisors is an integer number (262977297240).

Almost surely, 2^{79507641692160} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79507641692160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164097833477760).

79507641692160 is an abundant number, since it is smaller than the sum of its proper divisors (248688025263360).

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

79507641692160 is a wasteful number, since it uses less digits than its factorization.

79507641692160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76515 (or 76481 counting only the distinct ones).

The product of its (nonzero) digits is 34292160, while the sum is 63.

The spelling of 79507641692160 in words is "seventy-nine trillion, five hundred seven billion, six hundred forty-one million, six hundred ninety-two thousand, one hundred sixty".