30643040448 has 224 divisors, whose sum is σ = 92376345600. Its totient is φ = 9956348928.

The previous prime is 30643040411. The next prime is 30643040489. The reversal of 30643040448 is 84404034603.

30643040448 is a `hidden beast` number, since 3 + 0 + 643 + 0 + 4 + 0 + 4 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 24932698 + ... + 24933926.

It is an arithmetic number, because the mean of its divisors is an integer number (412394400).

Almost surely, 2^30643040448 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 30643040448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46188172800).

30643040448 is an abundant number, since it is smaller than the sum of its proper divisors (61733305152).

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

30643040448 is a wasteful number, since it uses less digits than its factorization.

30643040448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1604 (or 1588 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 30643040448 in words is "thirty billion, six hundred forty-three million, forty thousand, four hundred forty-eight".