30672996144 has 160 divisors (see below), whose sum is σ = 94896783360. Its totient is φ = 8347105536.

The previous prime is 30672996103. The next prime is 30672996217. The reversal of 30672996144 is 44169927603.

It is a happy number.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1838689 + ... + 1855295.

It is an arithmetic number, because the mean of its divisors is an integer number (593104896).

Almost surely, 2^30672996144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30672996144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47448391680).

30672996144 is an abundant number, since it is smaller than the sum of its proper divisors (64223787216).

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

30672996144 is a wasteful number, since it uses less digits than its factorization.

30672996144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16887 (or 16881 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 51.

The spelling of 30672996144 in words is "thirty billion, six hundred seventy-two million, nine hundred ninety-six thousand, one hundred forty-four".