79473991363200 has 2592 divisors, whose sum is σ = 349088157032160. Its totient is φ = 17511810785280.

The previous prime is 79473991363199. The next prime is 79473991363303. The reversal of 79473991363200 is 236319937497.

79473991363200 is a `hidden beast` number, since 7 + 9 + 4 + 7 + 399 + 1 + 36 + 3 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a super-2 number, since 2×79473991363200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 123598742079 + ... + 123598742721.

Almost surely, 2^{79473991363200} is an apocalyptic number.

79473991363200 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 79473991363200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174544078516080).

79473991363200 is an abundant number, since it is smaller than the sum of its proper divisors (269614165668960).

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

79473991363200 is an frugal number, since it uses more digits than its factorization.

79473991363200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 46294416, while the sum is 63.

The spelling of 79473991363200 in words is "seventy-nine trillion, four hundred seventy-three billion, nine hundred ninety-one million, three hundred sixty-three thousand, two hundred".