320915263680 has 1008 divisors, whose sum is σ = 1269164961792. Its totient is φ = 73795276800.

The previous prime is 320915263579. The next prime is 320915263687. The reversal of 320915263680 is 86362519023.

320915263680 is a `hidden beast` number, since 3 + 2 + 0 + 9 + 1 + 5 + 2 + 636 + 8 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (320915263687) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 2526891777 + ... + 2526891903.

It is an arithmetic number, because the mean of its divisors is an integer number (1259092224).

Almost surely, 2^320915263680 is an apocalyptic number.

320915263680 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 320915263680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634582480896).

320915263680 is an abundant number, since it is smaller than the sum of its proper divisors (948249698112).

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

320915263680 is a wasteful number, since it uses less digits than its factorization.

320915263680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 320915263680 in words is "three hundred twenty billion, nine hundred fifteen million, two hundred sixty-three thousand, six hundred eighty".