8192079347200 has 360 divisors, whose sum is σ = 23685288644952. Its totient is φ = 2799784673280.

The previous prime is 8192079347143. The next prime is 8192079347237. The reversal of 8192079347200 is 27439702918.

It is a super-2 number, since 2×8192079347200² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 198801799 + ... + 198843001.

Almost surely, 2^{8192079347200} is an apocalyptic number.

8192079347200 is a gapful number since it is divisible by the number (80) 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 8192079347200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11842644322476).

8192079347200 is an abundant number, since it is smaller than the sum of its proper divisors (15493209297752).

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

8192079347200 is a wasteful number, since it uses less digits than its factorization.

8192079347200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41562 (or 41534 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 52.

The spelling of 8192079347200 in words is "eight trillion, one hundred ninety-two billion, seventy-nine million, three hundred forty-seven thousand, two hundred".