79506983399760 has 320 divisors, whose sum is σ = 313159127961600. Its totient is φ = 18162616324608.

The previous prime is 79506983399687. The next prime is 79506983399797. The reversal of 79506983399760 is 6799338960597.

79506983399760 is a `hidden beast` number, since 7 + 9 + 50 + 6 + 98 + 339 + 97 + 60 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 79506983399760.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24909661 + ... + 27919619.

It is an arithmetic number, because the mean of its divisors is an integer number (978622274880).

Almost surely, 2^{79506983399760} is an apocalyptic number.

79506983399760 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79506983399760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156579563980800).

79506983399760 is an abundant number, since it is smaller than the sum of its proper divisors (233652144561840).

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

79506983399760 is a wasteful number, since it uses less digits than its factorization.

79506983399760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3011735 (or 3011723 counting only the distinct ones).

The product of its (nonzero) digits is 4166497440, while the sum is 81.

The spelling of 79506983399760 in words is "seventy-nine trillion, five hundred six billion, nine hundred eighty-three million, three hundred ninety-nine thousand, seven hundred sixty".