321700333680 has 480 divisors, whose sum is σ = 1249574040000. Its totient is φ = 73303326720.

The previous prime is 321700333679. The next prime is 321700333729. The reversal of 321700333680 is 86333007123.

It is a happy number.

It is a super-2 number, since 2×321700333680² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 168164404 + ... + 168166316.

It is an arithmetic number, because the mean of its divisors is an integer number (2603279250).

Almost surely, 2^321700333680 is an apocalyptic number.

321700333680 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 321700333680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624787020000).

321700333680 is an abundant number, since it is smaller than the sum of its proper divisors (927873706320).

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

321700333680 is a wasteful number, since it uses less digits than its factorization.

321700333680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3209 (or 3200 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The spelling of 321700333680 in words is "three hundred twenty-one billion, seven hundred million, three hundred thirty-three thousand, six hundred eighty".