30984476160 has 320 divisors, whose sum is σ = 108468771840. Its totient is φ = 7482900480.

The previous prime is 30984476143. The next prime is 30984476191. The reversal of 30984476160 is 6167448903.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 29820921 + ... + 29821959.

It is an arithmetic number, because the mean of its divisors is an integer number (338964912).

Almost surely, 2^30984476160 is an apocalyptic number.

30984476160 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 30984476160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54234385920).

30984476160 is an abundant number, since it is smaller than the sum of its proper divisors (77484295680).

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

30984476160 is a wasteful number, since it uses less digits than its factorization.

30984476160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1429 (or 1413 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The spelling of 30984476160 in words is "thirty billion, nine hundred eighty-four million, four hundred seventy-six thousand, one hundred sixty".