79610934323200 has 576 divisors, whose sum is σ = 231876477705600. Its totient is φ = 26535179059200.

The previous prime is 79610934323191. The next prime is 79610934323201. The reversal of 79610934323200 is 232343901697.

It is not an unprimeable number, because it can be changed into a prime (79610934323201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25606603246 + ... + 25606606354.

It is an arithmetic number, because the mean of its divisors is an integer number (402563329350).

Almost surely, 2^{79610934323200} is an apocalyptic number.

79610934323200 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 79610934323200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115938238852800).

79610934323200 is an abundant number, since it is smaller than the sum of its proper divisors (152265543382400).

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

79610934323200 is a wasteful number, since it uses less digits than its factorization.

79610934323200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5116 (or 5091 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 49.

The spelling of 79610934323200 in words is "seventy-nine trillion, six hundred ten billion, nine hundred thirty-four million, three hundred twenty-three thousand, two hundred".