329769296640 has 864 divisors, whose sum is σ = 1387066052736. Its totient is φ = 70613729280.

The previous prime is 329769296629. The next prime is 329769296683. The reversal of 329769296640 is 46692967923.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 401667430 + ... + 401668250.

It is an arithmetic number, because the mean of its divisors is an integer number (1605400524).

Almost surely, 2^329769296640 is an apocalyptic number.

329769296640 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 329769296640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693533026368).

329769296640 is an abundant number, since it is smaller than the sum of its proper divisors (1057296756096).

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

329769296640 is a wasteful number, since it uses less digits than its factorization.

329769296640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1165 (or 1148 counting only the distinct ones).

The product of its (nonzero) digits is 52907904, while the sum is 63.

The spelling of 329769296640 in words is "three hundred twenty-nine billion, seven hundred sixty-nine million, two hundred ninety-six thousand, six hundred forty".