329835640512 has 112 divisors (see below), whose sum is σ = 999410101760. Its totient is φ = 94045059072.

The previous prime is 329835640499. The next prime is 329835640543. The reversal of 329835640512 is 215046538923.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×329835640512² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 402564 + ... + 906492.

It is an arithmetic number, because the mean of its divisors is an integer number (8923304480).

Almost surely, 2^329835640512 is an apocalyptic number.

329835640512 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 329835640512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499705050880).

329835640512 is an abundant number, since it is smaller than the sum of its proper divisors (669574461248).

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

329835640512 is a wasteful number, since it uses less digits than its factorization.

329835640512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504438 (or 504428 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 48.

The spelling of 329835640512 in words is "three hundred twenty-nine billion, eight hundred thirty-five million, six hundred forty thousand, five hundred twelve".