329214561480 has 576 divisors, whose sum is σ = 1323035700480. Its totient is φ = 70543872000.

The previous prime is 329214561479. The next prime is 329214561503. The reversal of 329214561480 is 84165412923.

329214561480 is a `hidden beast` number, since 3 + 2 + 9 + 2 + 1 + 4 + 561 + 4 + 80 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 81265455 + ... + 81269505.

It is an arithmetic number, because the mean of its divisors is an integer number (2296936980).

Almost surely, 2^329214561480 is an apocalyptic number.

329214561480 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 329214561480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661517850240).

329214561480 is an abundant number, since it is smaller than the sum of its proper divisors (993821139000).

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

329214561480 is a wasteful number, since it uses less digits than its factorization.

329214561480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4370 (or 4356 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 329214561480 in words is "three hundred twenty-nine billion, two hundred fourteen million, five hundred sixty-one thousand, four hundred eighty".