320915696640 has 1056 divisors, whose sum is σ = 1366186010112. Its totient is φ = 62717952000.

The previous prime is 320915696573. The next prime is 320915696653. The reversal of 320915696640 is 46696519023.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a Harshad number since it is a multiple of its sum of digits (51).

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, 221167915 + ... + 221169365.

It is an arithmetic number, because the mean of its divisors is an integer number (1293736752).

Almost surely, 2^320915696640 is an apocalyptic number.

320915696640 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 320915696640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (683093005056).

320915696640 is an abundant number, since it is smaller than the sum of its proper divisors (1045270313472).

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

320915696640 is a wasteful number, since it uses less digits than its factorization.

320915696640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1525 (or 1496 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 51.

The spelling of 320915696640 in words is "three hundred twenty billion, nine hundred fifteen million, six hundred ninety-six thousand, six hundred forty".