79094386949760 has 8192 divisors, whose sum is σ = 404683776000000. Its totient is φ = 14600888451072.

The previous prime is 79094386949729. The next prime is 79094386949791. The reversal of 79094386949760 is 6794968349097.

79094386949760 is a `hidden beast` number, since 7 + 9 + 0 + 9 + 4 + 3 + 8 + 69 + 497 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (79094386949729) and next prime (79094386949791).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 79094386949760.

It is an unprimeable number.

It is a polite number, since it can be written in 1023 ways as a sum of consecutive naturals, for example, 2727392653426 + ... + 2727392653454.

It is an arithmetic number, because the mean of its divisors is an integer number (49399875000).

Almost surely, 2^{79094386949760} is an apocalyptic number.

79094386949760 is a gapful number since it is divisible by the number (70) 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 79094386949760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202341888000000).

79094386949760 is an abundant number, since it is smaller than the sum of its proper divisors (325589389050240).

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

79094386949760 is a wasteful number, since it uses less digits than its factorization.

79094386949760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 4444263936, while the sum is 81.

The spelling of 79094386949760 in words is "seventy-nine trillion, ninety-four billion, three hundred eighty-six million, nine hundred forty-nine thousand, seven hundred sixty".