320868909900 has 1728 divisors, whose sum is σ = 1380736627200. Its totient is φ = 63141120000.

The previous prime is 320868909883. The next prime is 320868909919. The reversal of 320868909900 is 9909868023.

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

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 575 ways as a sum of consecutive naturals, for example, 3176919850 + ... + 3176919950.

It is an arithmetic number, because the mean of its divisors is an integer number (799037400).

Almost surely, 2^320868909900 is an apocalyptic number.

320868909900 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 320868909900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690368313600).

320868909900 is an abundant number, since it is smaller than the sum of its proper divisors (1059867717300).

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

320868909900 is a wasteful number, since it uses less digits than its factorization.

320868909900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 320868909900 in words is "three hundred twenty billion, eight hundred sixty-eight million, nine hundred nine thousand, nine hundred".