30680860672000 has 1440 divisors, whose sum is σ = 100508982013440. Its totient is φ = 9135194112000.

The previous prime is 30680860671961. The next prime is 30680860672013. The reversal of 30680860672000 is 27606808603.

It is a Harshad number since it is a multiple of its sum of digits (46).

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, 39897087616 + ... + 39897088384.

It is an arithmetic number, because the mean of its divisors is an integer number (69797904176).

Almost surely, 2^{30680860672000} 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 30680860672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50254491006720).

30680860672000 is an abundant number, since it is smaller than the sum of its proper divisors (69828121341440).

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

30680860672000 is an equidigital number, since it uses as much as digits as its factorization.

30680860672000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 864 (or 817 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 46.

The spelling of 30680860672000 in words is "thirty trillion, six hundred eighty billion, eight hundred sixty million, six hundred seventy-two thousand".