321099655680 has 1120 divisors, whose sum is σ = 1267969626000. Its totient is φ = 77587808256.

The previous prime is 321099655673. The next prime is 321099655693. The reversal of 321099655680 is 86556990123.

It is a happy number.

321099655680 is a `hidden beast` number, since 3 + 2 + 1 + 0 + 9 + 9 + 6 + 556 + 80 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 226225799424 + 94873856256 = 475632^2 + 308016^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 920056146 + ... + 920056494.

Almost surely, 2^321099655680 is an apocalyptic number.

321099655680 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 321099655680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633984813000).

321099655680 is an abundant number, since it is smaller than the sum of its proper divisors (946869970320).

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

321099655680 is an equidigital number, since it uses as much as digits as its factorization.

321099655680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The spelling of 321099655680 in words is "three hundred twenty-one billion, ninety-nine million, six hundred fifty-five thousand, six hundred eighty".