320097639540672 has 896 divisors, whose sum is σ = 1122468457420800. Its totient is φ = 87550178918400.

The previous prime is 320097639540667. The next prime is 320097639540689. The reversal of 320097639540672 is 276045936790023.

320097639540672 is a `hidden beast` number, since 3 + 2 + 0 + 0 + 9 + 76 + 3 + 95 + 406 + 72 = 666.

It is a super-3 number, since 3×320097639540672³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12675615598 + ... + 12675640850.

It is an arithmetic number, because the mean of its divisors is an integer number (1252754974800).

Almost surely, 2^{320097639540672} is an apocalyptic number.

320097639540672 is a gapful number since it is divisible by the number (32) 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 320097639540672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561234228710400).

320097639540672 is an abundant number, since it is smaller than the sum of its proper divisors (802370817880128).

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

320097639540672 is a wasteful number, since it uses less digits than its factorization.

320097639540672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25802 (or 25786 counting only the distinct ones).

The product of its (nonzero) digits is 102876480, while the sum is 63.

The spelling of 320097639540672 in words is "three hundred twenty trillion, ninety-seven billion, six hundred thirty-nine million, five hundred forty thousand, six hundred seventy-two".