329289287264 has 72 divisors (see below), whose sum is σ = 754401474288. Its totient is φ = 141073416960.

The previous prime is 329289287251. The next prime is 329289287267. The reversal of 329289287264 is 462782982923.

It is a super-2 number, since 2×329289287264² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 329289287197 and 329289287206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (329289287267) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4515734 + ... + 4588074.

It is an arithmetic number, because the mean of its divisors is an integer number (10477798254).

Almost surely, 2^329289287264 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 329289287264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377200737144).

329289287264 is an abundant number, since it is smaller than the sum of its proper divisors (425112187024).

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

329289287264 is a wasteful number, since it uses less digits than its factorization.

329289287264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75268 (or 75253 counting only the distinct ones).

The product of its digits is 41803776, while the sum is 62.

The spelling of 329289287264 in words is "three hundred twenty-nine billion, two hundred eighty-nine million, two hundred eighty-seven thousand, two hundred sixty-four".