321599600640 has 960 divisors, whose sum is σ = 1205551226880. Its totient is φ = 81935400960.

The previous prime is 321599600603. The next prime is 321599600653. The reversal of 321599600640 is 46006995123.

321599600640 is a `hidden beast` number, since 32 + 1 + 5 + 9 + 9 + 600 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2532280257 + ... + 2532280383.

It is an arithmetic number, because the mean of its divisors is an integer number (1255782528).

Almost surely, 2^321599600640 is an apocalyptic number.

321599600640 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 321599600640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602775613440).

321599600640 is an abundant number, since it is smaller than the sum of its proper divisors (883951626240).

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

321599600640 is a wasteful number, since it uses less digits than its factorization.

321599600640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 321599600640 in words is "three hundred twenty-one billion, five hundred ninety-nine million, six hundred thousand, six hundred forty".