320074390944 has 768 divisors, whose sum is σ = 1230598656000. Its totient is φ = 78411939840.

The previous prime is 320074390939. The next prime is 320074390969. The reversal of 320074390944 is 449093470023.

320074390944 is a `hidden beast` number, since 3 + 200 + 7 + 439 + 0 + 9 + 4 + 4 = 666.

It is a super-2 number, since 2×320074390944² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 320074390944.

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 127 ways as a sum of consecutive naturals, for example, 395641612 + ... + 395642420.

It is an arithmetic number, because the mean of its divisors is an integer number (1602342000).

Almost surely, 2^320074390944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320074390944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615299328000).

320074390944 is an abundant number, since it is smaller than the sum of its proper divisors (910524265056).

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

320074390944 is a wasteful number, since it uses less digits than its factorization.

320074390944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1178 (or 1164 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 320074390944 in words is "three hundred twenty billion, seventy-four million, three hundred ninety thousand, nine hundred forty-four".