79671977406 has 128 divisors (see below), whose sum is σ = 203735347200. Its totient is φ = 22607182080.

The previous prime is 79671977393. The next prime is 79671977477. The reversal of 79671977406 is 60477917697.

79671977406 is a `hidden beast` number, since 7 + 96 + 71 + 9 + 77 + 406 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 41646706 + ... + 41648618.

It is an arithmetic number, because the mean of its divisors is an integer number (1591682400).

Almost surely, 2^79671977406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79671977406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101867673600).

79671977406 is an abundant number, since it is smaller than the sum of its proper divisors (124063369794).

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

79671977406 is a wasteful number, since it uses less digits than its factorization.

79671977406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2631 (or 2625 counting only the distinct ones).

The product of its (nonzero) digits is 28005264, while the sum is 63.

The spelling of 79671977406 in words is "seventy-nine billion, six hundred seventy-one million, nine hundred seventy-seven thousand, four hundred six".