330087956352 has 512 divisors, whose sum is σ = 1137438720000. Its totient is φ = 82308096000.

The previous prime is 330087956333. The next prime is 330087956369. The reversal of 330087956352 is 253659780033.

It is a junction number, because it is equal to n+sod(n) for n = 330087956295 and 330087956304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 120074274 + ... + 120077022.

It is an arithmetic number, because the mean of its divisors is an integer number (2221560000).

Almost surely, 2^330087956352 is an apocalyptic number.

330087956352 is a gapful number since it is divisible by the number (32) 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 330087956352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568719360000).

330087956352 is an abundant number, since it is smaller than the sum of its proper divisors (807350763648).

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

330087956352 is a wasteful number, since it uses less digits than its factorization.

330087956352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2946 (or 2934 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 51.

The spelling of 330087956352 in words is "three hundred thirty billion, eighty-seven million, nine hundred fifty-six thousand, three hundred fifty-two".