79193690460 has 288 divisors, whose sum is σ = 262563275520. Its totient is φ = 19244611584.

The previous prime is 79193690431. The next prime is 79193690473. The reversal of 79193690460 is 6409639197.

79193690460 is a `hidden beast` number, since 7 + 9 + 1 + 93 + 6 + 90 + 460 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 79193690397 and 79193690406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12092907 + ... + 12099453.

It is an arithmetic number, because the mean of its divisors is an integer number (911678040).

Almost surely, 2^79193690460 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 79193690460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131281637760).

79193690460 is an abundant number, since it is smaller than the sum of its proper divisors (183369585060).

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

79193690460 is a wasteful number, since it uses less digits than its factorization.

79193690460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6705 (or 6700 counting only the distinct ones).

The product of its (nonzero) digits is 2204496, while the sum is 54.

The spelling of 79193690460 in words is "seventy-nine billion, one hundred ninety-three million, six hundred ninety thousand, four hundred sixty".