79067620195200 has 1440 divisors, whose sum is σ = 361084570648560. Its totient is φ = 16682334289920.

The previous prime is 79067620195181. The next prime is 79067620195261. The reversal of 79067620195200 is 259102676097.

79067620195200 is a `hidden beast` number, since 7 + 9 + 0 + 6 + 7 + 620 + 1 + 9 + 5 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×79067620195200² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 306504672 + ... + 306762528.

Almost surely, 2^{79067620195200} is an apocalyptic number.

79067620195200 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 79067620195200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180542285324280).

79067620195200 is an abundant number, since it is smaller than the sum of its proper divisors (282016950453360).

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

79067620195200 is a wasteful number, since it uses less digits than its factorization.

79067620195200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257926 (or 257887 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The spelling of 79067620195200 in words is "seventy-nine trillion, sixty-seven billion, six hundred twenty million, one hundred ninety-five thousand, two hundred".