320990049072000 has 7680 divisors, whose sum is σ = 1593814395064320. Its totient is φ = 63489484800000.

The previous prime is 320990049071981. The next prime is 320990049072239. The reversal of 320990049072000 is 270940099023.

320990049072000 is a `hidden beast` number, since 3 + 2 + 0 + 9 + 90 + 0 + 490 + 72 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×320990049072000² (a number of 30 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 5262131951970 + ... + 5262131952030.

It is an arithmetic number, because the mean of its divisors is an integer number (207527916024).

Almost surely, 2^{320990049072000} is an apocalyptic number.

320990049072000 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 320990049072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (796907197532160).

320990049072000 is an abundant number, since it is smaller than the sum of its proper divisors (1272824345992320).

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

320990049072000 is an frugal number, since it uses more digits than its factorization.

320990049072000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 320990049072000 in words is "three hundred twenty trillion, nine hundred ninety billion, forty-nine million, seventy-two thousand".