79468849152 has 864 divisors, whose sum is σ = 307323525600. Its totient is φ = 19508428800.

The previous prime is 79468849087. The next prime is 79468849183. The reversal of 79468849152 is 25194886497.

79468849152 is a `hidden beast` number, since 7 + 9 + 468 + 84 + 91 + 5 + 2 = 666.

It is a super-2 number, since 2×79468849152² (a number of 23 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 79468849152.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 188761902 + ... + 188762322.

It is an arithmetic number, because the mean of its divisors is an integer number (355698525).

Almost surely, 2^79468849152 is an apocalyptic number.

79468849152 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79468849152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153661762800).

79468849152 is an abundant number, since it is smaller than the sum of its proper divisors (227854676448).

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

79468849152 is a wasteful number, since it uses less digits than its factorization.

79468849152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493 (or 463 counting only the distinct ones).

The product of its digits is 34836480, while the sum is 63.

The spelling of 79468849152 in words is "seventy-nine billion, four hundred sixty-eight million, eight hundred forty-nine thousand, one hundred fifty-two".