330098872320 has 1560 divisors, whose sum is σ = 1431766879488. Its totient is φ = 72459878400.

The previous prime is 330098872249. The next prime is 330098872331. The reversal of 330098872320 is 23278890033.

It is a happy number.

330098872320 is a `hidden beast` number, since 330 + 0 + 9 + 8 + 87 + 232 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2519838655 + ... + 2519838785.

Almost surely, 2^330098872320 is an apocalyptic number.

330098872320 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 330098872320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715883439744).

330098872320 is an abundant number, since it is smaller than the sum of its proper divisors (1101668007168).

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

330098872320 is a wasteful number, since it uses less digits than its factorization.

330098872320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 330098872320 in words is "three hundred thirty billion, ninety-eight million, eight hundred seventy-two thousand, three hundred twenty".