79083162929232 has 640 divisors, whose sum is σ = 289313482752000. Its totient is φ = 20084455526400.

The previous prime is 79083162929213. The next prime is 79083162929257. The reversal of 79083162929232 is 23292926138097.

79083162929232 is a `hidden beast` number, since 7 + 9 + 0 + 8 + 316 + 29 + 292 + 3 + 2 = 666.

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 79083162929232.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1639990882 + ... + 1640039102.

It is an arithmetic number, because the mean of its divisors is an integer number (452052316800).

Almost surely, 2^{79083162929232} is an apocalyptic number.

79083162929232 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 79083162929232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144656741376000).

79083162929232 is an abundant number, since it is smaller than the sum of its proper divisors (210230319822768).

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

79083162929232 is a wasteful number, since it uses less digits than its factorization.

79083162929232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49352 (or 49340 counting only the distinct ones).

The product of its (nonzero) digits is 35271936, while the sum is 63.

The spelling of 79083162929232 in words is "seventy-nine trillion, eighty-three billion, one hundred sixty-two million, nine hundred twenty-nine thousand, two hundred thirty-two".