30676400448 has 448 divisors, whose sum is σ = 96319238400. Its totient is φ = 8546549760.

The previous prime is 30676400413. The next prime is 30676400453. The reversal of 30676400448 is 84400467603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 66542938 + ... + 66543398.

It is an arithmetic number, because the mean of its divisors is an integer number (214998300).

Almost surely, 2^30676400448 is an apocalyptic number.

30676400448 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30676400448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48159619200).

30676400448 is an abundant number, since it is smaller than the sum of its proper divisors (65642837952).

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

30676400448 is a wasteful number, since it uses less digits than its factorization.

30676400448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 42.

The spelling of 30676400448 in words is "thirty billion, six hundred seventy-six million, four hundred thousand, four hundred forty-eight".