329227500420 has 576 divisors, whose sum is σ = 1320271680000. Its totient is φ = 65804368896.

The previous prime is 329227500379. The next prime is 329227500449. The reversal of 329227500420 is 24005722923.

329227500420 is a `hidden beast` number, since 3 + 2 + 9 + 227 + 5 + 0 + 0 + 420 = 666.

It is a super-4 number, since 4×329227500420⁴ (a number of 47 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 15238986 + ... + 15260574.

Almost surely, 2^329227500420 is an apocalyptic number.

329227500420 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 329227500420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660135840000).

329227500420 is an abundant number, since it is smaller than the sum of its proper divisors (991044179580).

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

329227500420 is a wasteful number, since it uses less digits than its factorization.

329227500420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21657 (or 21638 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 329227500420 in words is "three hundred twenty-nine billion, two hundred twenty-seven million, five hundred thousand, four hundred twenty".