79124791680 has 1280 divisors, whose sum is σ = 332345376000. Its totient is φ = 17736744960.

The previous prime is 79124791663. The next prime is 79124791763. The reversal of 79124791680 is 8619742197.

79124791680 is a `hidden beast` number, since 7 + 9 + 1 + 2 + 479 + 168 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 725915466 + ... + 725915574.

It is an arithmetic number, because the mean of its divisors is an integer number (259644825).

Almost surely, 2^79124791680 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 79124791680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166172688000).

79124791680 is an abundant number, since it is smaller than the sum of its proper divisors (253220584320).

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

79124791680 is a wasteful number, since it uses less digits than its factorization.

79124791680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The spelling of 79124791680 in words is "seventy-nine billion, one hundred twenty-four million, seven hundred ninety-one thousand, six hundred eighty".