30746682640128 has 864 divisors, whose sum is σ = 104247474472960. Its totient is φ = 7832912855040.

The previous prime is 30746682640099. The next prime is 30746682640213. The reversal of 30746682640128 is 82104628664703.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12196223508 + ... + 12196226028.

Almost surely, 2^{30746682640128} 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 30746682640128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52123737236480).

30746682640128 is an abundant number, since it is smaller than the sum of its proper divisors (73500791832832).

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

30746682640128 is a wasteful number, since it uses less digits than its factorization.

30746682640128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2733 (or 2672 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 57.

The spelling of 30746682640128 in words is "thirty trillion, seven hundred forty-six billion, six hundred eighty-two million, six hundred forty thousand, one hundred twenty-eight".