30518000640 has 528 divisors, whose sum is σ = 115521544320. Its totient is φ = 7703838720.

The previous prime is 30518000633. The next prime is 30518000663. The reversal of 30518000640 is 4600081503.

30518000640 is a `hidden beast` number, since 3 + 0 + 5 + 18 + 0 + 0 + 0 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23638395 + ... + 23639685.

Almost surely, 2^30518000640 is an apocalyptic number.

30518000640 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 30518000640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57760772160).

30518000640 is an abundant number, since it is smaller than the sum of its proper divisors (85003543680).

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

30518000640 is a wasteful number, since it uses less digits than its factorization.

30518000640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1350 (or 1320 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 30518000640 in words is "thirty billion, five hundred eighteen million, six hundred forty", and thus it is an aban number.