320327504640 has 864 divisors, whose sum is σ = 1308185476416. Its totient is φ = 71345111040.

The previous prime is 320327504617. The next prime is 320327504659. The reversal of 320327504640 is 46405723023.

320327504640 is a `hidden beast` number, since 3 + 2 + 0 + 3 + 2 + 7 + 5 + 0 + 4 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 320327504595 and 320327504604.

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 95 ways as a sum of consecutive naturals, for example, 555160032 + ... + 555160608.

Almost surely, 2^320327504640 is an apocalyptic number.

320327504640 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 320327504640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654092738208).

320327504640 is an abundant number, since it is smaller than the sum of its proper divisors (987857971776).

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

320327504640 is a wasteful number, since it uses less digits than its factorization.

320327504640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 965 (or 948 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The spelling of 320327504640 in words is "three hundred twenty billion, three hundred twenty-seven million, five hundred four thousand, six hundred forty".