79586091648 has 384 divisors, whose sum is σ = 275723136000. Its totient is φ = 22532235264.

The previous prime is 79586091601. The next prime is 79586091671. The reversal of 79586091648 is 84619068597.

79586091648 is a `hidden beast` number, since 7 + 9 + 5 + 8 + 609 + 16 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19133793 + ... + 19137951.

It is an arithmetic number, because the mean of its divisors is an integer number (718029000).

Almost surely, 2^79586091648 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 79586091648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137861568000).

79586091648 is an abundant number, since it is smaller than the sum of its proper divisors (196137044352).

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

79586091648 is a wasteful number, since it uses less digits than its factorization.

79586091648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4309 (or 4284 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 79586091648 in words is "seventy-nine billion, five hundred eighty-six million, ninety-one thousand, six hundred forty-eight".