329420636160 has 800 divisors, whose sum is σ = 1391569362432. Its totient is φ = 64424509440.

The previous prime is 329420636147. The next prime is 329420636173. The reversal of 329420636160 is 61636024923.

It is an interprime number because it is at equal distance from previous prime (329420636147) and next prime (329420636173).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19377684472 + ... + 19377684488.

Almost surely, 2^329420636160 is an apocalyptic number.

329420636160 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 329420636160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695784681216).

329420636160 is an abundant number, since it is smaller than the sum of its proper divisors (1062148726272).

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

329420636160 is an frugal number, since it uses more digits than its factorization.

329420636160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 42.

The spelling of 329420636160 in words is "three hundred twenty-nine billion, four hundred twenty million, six hundred thirty-six thousand, one hundred sixty".