30366900480 has 576 divisors, whose sum is σ = 119900712960. Its totient is φ = 6393987072.

The previous prime is 30366900467. The next prime is 30366900559. The reversal of 30366900480 is 8400966303.

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, 18895837 + ... + 18897443.

It is an arithmetic number, because the mean of its divisors is an integer number (208160960).

Almost surely, 2^30366900480 is an apocalyptic number.

30366900480 is a gapful number since it is divisible by the number (30) 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 30366900480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59950356480).

30366900480 is an abundant number, since it is smaller than the sum of its proper divisors (89533812480).

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

30366900480 is a wasteful number, since it uses less digits than its factorization.

30366900480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1694 (or 1680 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 39.

The spelling of 30366900480 in words is "thirty billion, three hundred sixty-six million, nine hundred thousand, four hundred eighty".