329772938040 has 1728 divisors, whose sum is σ = 1488530403360. Its totient is φ = 65213890560.

The previous prime is 329772937993. The next prime is 329772938083. The reversal of 329772938040 is 40839277923.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 1368352320 + ... + 1368352560.

Almost surely, 2^329772938040 is an apocalyptic number.

329772938040 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 329772938040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744265201680).

329772938040 is an abundant number, since it is smaller than the sum of its proper divisors (1158757465320).

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

329772938040 is a wasteful number, since it uses less digits than its factorization.

329772938040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 329772938040 in words is "three hundred twenty-nine billion, seven hundred seventy-two million, nine hundred thirty-eight thousand, forty".