79094906352 has 960 divisors, whose sum is σ = 310735667200. Its totient is φ = 18783705600.

The previous prime is 79094906279. The next prime is 79094906353. The reversal of 79094906352 is 25360949097.

79094906352 is a `hidden beast` number, since 7 + 90 + 9 + 490 + 63 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79094906353) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 215517273 + ... + 215517639.

Almost surely, 2^79094906352 is an apocalyptic number.

79094906352 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 79094906352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155367833600).

79094906352 is an abundant number, since it is smaller than the sum of its proper divisors (231640760848).

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

79094906352 is a wasteful number, since it uses less digits than its factorization.

79094906352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 54.

The spelling of 79094906352 in words is "seventy-nine billion, ninety-four million, nine hundred six thousand, three hundred fifty-two".