320112676800 has 1008 divisors, whose sum is σ = 1340368972800. Its totient is φ = 70950297600.

The previous prime is 320112676781. The next prime is 320112676847. The reversal of 320112676800 is 8676211023.

320112676800 is a `hidden beast` number, since 320 + 11 + 267 + 68 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×320112676800² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 485754871 + ... + 485755529.

Almost surely, 2^320112676800 is an apocalyptic number.

320112676800 is a gapful number since it is divisible by the number (30) 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 320112676800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670184486400).

320112676800 is an abundant number, since it is smaller than the sum of its proper divisors (1020256296000).

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

320112676800 is a wasteful number, since it uses less digits than its factorization.

320112676800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 834 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

Adding to 320112676800 its reverse (8676211023), we get a palindrome (328788887823).

The spelling of 320112676800 in words is "three hundred twenty billion, one hundred twelve million, six hundred seventy-six thousand, eight hundred".