320451547680 has 1536 divisors, whose sum is σ = 1358204682240. Its totient is φ = 69672960000.

The previous prime is 320451547679. The next prime is 320451547699. The reversal of 320451547680 is 86745154023.

320451547680 is a `hidden beast` number, since 3 + 2 + 0 + 45 + 1 + 547 + 68 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2122195605 + ... + 2122195755.

It is an arithmetic number, because the mean of its divisors is an integer number (884247840).

Almost surely, 2^320451547680 is an apocalyptic number.

320451547680 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 320451547680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679102341120).

320451547680 is an abundant number, since it is smaller than the sum of its proper divisors (1037753134560).

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

320451547680 is a wasteful number, since it uses less digits than its factorization.

320451547680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 320451547680 in words is "three hundred twenty billion, four hundred fifty-one million, five hundred forty-seven thousand, six hundred eighty".