321307768320 has 1280 divisors, whose sum is σ = 1401071468544. Its totient is φ = 60751872000.

The previous prime is 321307768307. The next prime is 321307768349. The reversal of 321307768320 is 23867703123.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 311646205 + ... + 311647235.

Almost surely, 2^321307768320 is an apocalyptic number.

321307768320 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 321307768320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700535734272).

321307768320 is an abundant number, since it is smaller than the sum of its proper divisors (1079763700224).

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

321307768320 is a wasteful number, since it uses less digits than its factorization.

321307768320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1123 (or 1107 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 42.

The spelling of 321307768320 in words is "three hundred twenty-one billion, three hundred seven million, seven hundred sixty-eight thousand, three hundred twenty".