30026468640 has 384 divisors, whose sum is σ = 109734912000. Its totient is φ = 6760083456.

The previous prime is 30026468627. The next prime is 30026468663. The reversal of 30026468640 is 4686462003.

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, 111622426 + ... + 111622694.

It is an arithmetic number, because the mean of its divisors is an integer number (285768000).

Almost surely, 2^30026468640 is an apocalyptic number.

30026468640 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 30026468640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54867456000).

30026468640 is an abundant number, since it is smaller than the sum of its proper divisors (79708443360).

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

30026468640 is a wasteful number, since it uses less digits than its factorization.

30026468640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 39.

The spelling of 30026468640 in words is "thirty billion, twenty-six million, four hundred sixty-eight thousand, six hundred forty".