30670348271472 has 720 divisors, whose sum is σ = 113927015704320. Its totient is φ = 7608185044992.

The previous prime is 30670348271447. The next prime is 30670348271509. The reversal of 30670348271472 is 27417284307603.

30670348271472 is a `hidden beast` number, since 3 + 0 + 6 + 70 + 34 + 8 + 2 + 71 + 472 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2842737054 + ... + 2842747842.

It is an arithmetic number, because the mean of its divisors is an integer number (158231966256).

Almost surely, 2^{30670348271472} 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 30670348271472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56963507852160).

30670348271472 is an abundant number, since it is smaller than the sum of its proper divisors (83256667432848).

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

30670348271472 is a wasteful number, since it uses less digits than its factorization.

30670348271472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12670 (or 12654 counting only the distinct ones).

The product of its (nonzero) digits is 9483264, while the sum is 54.

The spelling of 30670348271472 in words is "thirty trillion, six hundred seventy billion, three hundred forty-eight million, two hundred seventy-one thousand, four hundred seventy-two".