79681470073920 has 672 divisors, whose sum is σ = 322090030813824. Its totient is φ = 17825034240000.

The previous prime is 79681470073913. The next prime is 79681470073957. The reversal of 79681470073920 is 2937007418697.

79681470073920 is a `hidden beast` number, since 7 + 9 + 6 + 8 + 1 + 470 + 0 + 73 + 92 + 0 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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, 1338862084 + ... + 1338921596.

It is an arithmetic number, because the mean of its divisors is an integer number (479300641092).

Almost surely, 2^{79681470073920} 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 79681470073920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161045015406912).

79681470073920 is an abundant number, since it is smaller than the sum of its proper divisors (242408560739904).

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

79681470073920 is a wasteful number, since it uses less digits than its factorization.

79681470073920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62811 (or 62798 counting only the distinct ones).

The product of its (nonzero) digits is 32006016, while the sum is 63.

The spelling of 79681470073920 in words is "seventy-nine trillion, six hundred eighty-one billion, four hundred seventy million, seventy-three thousand, nine hundred twenty".