309696096984320 has 288 divisors, whose sum is σ = 795114489647520. Its totient is φ = 115344235560960.

The previous prime is 309696096984293. The next prime is 309696096984359. The reversal of 309696096984320 is 23489690696903.

It can be written as a sum of positive squares in 16 ways, for example, as 79490491073536 + 230205605910784 = 8915744^2 + 15172528^2 .

It is a Harshad number since it is a multiple of its sum of digits (74).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 154200980 + ... + 156196460.

It is an arithmetic number, because the mean of its divisors is an integer number (2760814200165).

Almost surely, 2^{309696096984320} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 309696096984320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397557244823760).

309696096984320 is an abundant number, since it is smaller than the sum of its proper divisors (485418392663200).

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

309696096984320 is a wasteful number, since it uses less digits than its factorization.

309696096984320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1995681 (or 1995667 counting only the distinct ones).

The product of its (nonzero) digits is 816293376, while the sum is 74.

The spelling of 309696096984320 in words is "three hundred nine trillion, six hundred ninety-six billion, ninety-six million, nine hundred eighty-four thousand, three hundred twenty".