320747328000 has 1920 divisors, whose sum is σ = 1376634175488. Its totient is φ = 70963200000.

The previous prime is 320747327993. The next prime is 320747328017. The reversal of 320747328000 is 823747023.

320747328000 is a `hidden beast` number, since 320 + 7 + 4 + 7 + 328 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4517567965 + ... + 4517568035.

Almost surely, 2^320747328000 is an apocalyptic number.

320747328000 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 320747328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688317087744).

320747328000 is an abundant number, since it is smaller than the sum of its proper divisors (1055886847488).

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

320747328000 is a wasteful number, since it uses less digits than its factorization.

320747328000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The spelling of 320747328000 in words is "three hundred twenty billion, seven hundred forty-seven million, three hundred twenty-eight thousand".