329870072004480 has 1024 divisors, whose sum is σ = 1413351624960000. Its totient is φ = 71105881964544.

The previous prime is 329870072004461. The next prime is 329870072004481. The reversal of 329870072004480 is 84400270078923.

It is a happy number.

329870072004480 is a `hidden beast` number, since 3 + 2 + 98 + 7 + 0 + 0 + 72 + 0 + 0 + 4 + 480 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (329870072004481) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 149743656 + ... + 151930584.

It is an arithmetic number, because the mean of its divisors is an integer number (1380226196250).

Almost surely, 2^{329870072004480} is an apocalyptic number.

329870072004480 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 329870072004480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706675812480000).

329870072004480 is an abundant number, since it is smaller than the sum of its proper divisors (1083481552955520).

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

329870072004480 is a wasteful number, since it uses less digits than its factorization.

329870072004480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2187036 (or 2187018 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 329870072004480 in words is "three hundred twenty-nine trillion, eight hundred seventy billion, seventy-two million, four thousand, four hundred eighty".