330087086993664 has 2160 divisors, whose sum is σ = 1350802466798400. Its totient is φ = 79133293854720.

The previous prime is 330087086993663. The next prime is 330087086993683. The reversal of 330087086993664 is 466399680780033.

It is a happy number.

330087086993664 is a `hidden beast` number, since 3 + 30 + 0 + 8 + 70 + 86 + 99 + 366 + 4 = 666.

It is a super-2 number, since 2×330087086993664² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 330087086993592 and 330087086993601.

It is not an unprimeable number, because it can be changed into a prime (330087086993663) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 35307203262 + ... + 35307212610.

Almost surely, 2^{330087086993664} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 330087086993664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675401233399200).

330087086993664 is an abundant number, since it is smaller than the sum of its proper divisors (1020715379804736).

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

330087086993664 is an frugal number, since it uses more digits than its factorization.

330087086993664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9430 (or 9385 counting only the distinct ones).

The product of its (nonzero) digits is 846526464, while the sum is 72.

The spelling of 330087086993664 in words is "three hundred thirty trillion, eighty-seven billion, eighty-six million, nine hundred ninety-three thousand, six hundred sixty-four".