329378918400 has 1872 divisors, whose sum is σ = 1467005216768. Its totient is φ = 71663616000.

The previous prime is 329378918389. The next prime is 329378918419. The reversal of 329378918400 is 4819873923.

329378918400 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

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 143 ways as a sum of consecutive naturals, for example, 5399654370 + ... + 5399654430.

Almost surely, 2^329378918400 is an apocalyptic number.

329378918400 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 329378918400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733502608384).

329378918400 is an abundant number, since it is smaller than the sum of its proper divisors (1137626298368).

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

329378918400 is an equidigital number, since it uses as much as digits as its factorization.

329378918400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 329378918400 in words is "three hundred twenty-nine billion, three hundred seventy-eight million, nine hundred eighteen thousand, four hundred".