321322023090 has 256 divisors, whose sum is σ = 879206400000. Its totient is φ = 83489978880.

The previous prime is 321322022977. The next prime is 321322023119. The reversal of 321322023090 is 90320223123.

321322023090 is a `hidden beast` number, since 3 + 21 + 322 + 0 + 230 + 90 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 643931661 + ... + 643932159.

It is an arithmetic number, because the mean of its divisors is an integer number (3434400000).

Almost surely, 2^321322023090 is an apocalyptic number.

321322023090 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 321322023090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439603200000).

321322023090 is an abundant number, since it is smaller than the sum of its proper divisors (557884376910).

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

321322023090 is a wasteful number, since it uses less digits than its factorization.

321322023090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 942 (or 936 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The spelling of 321322023090 in words is "three hundred twenty-one billion, three hundred twenty-two million, twenty-three thousand, ninety".