80372346163200 has 2340 divisors, whose sum is σ = 368480924663808. Its totient is φ = 16955611545600.

The previous prime is 80372346163177. The next prime is 80372346163243. The reversal of 80372346163200 is 236164327308.

80372346163200 is a `hidden beast` number, since 8 + 0 + 3 + 7 + 2 + 3 + 4 + 6 + 1 + 632 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2340).

It is a super-2 number, since 2×80372346163200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 9812271105 + ... + 9812279295.

Almost surely, 2^{80372346163200} is an apocalyptic number.

80372346163200 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 80372346163200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184240462331904).

80372346163200 is an abundant number, since it is smaller than the sum of its proper divisors (288108578500608).

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

80372346163200 is a wasteful number, since it uses less digits than its factorization.

80372346163200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8270 (or 8221 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 80372346163200 in words is "eighty trillion, three hundred seventy-two billion, three hundred forty-six million, one hundred sixty-three thousand, two hundred".