30607764440 has 256 divisors, whose sum is σ = 80123904000. Its totient is φ = 10418688000.

The previous prime is 30607764433. The next prime is 30607764469. The reversal of 30607764440 is 4446770603.

It is a Harshad number since it is a multiple of its sum of digits (41).

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, 128065841 + ... + 128066079.

It is an arithmetic number, because the mean of its divisors is an integer number (312984000).

Almost surely, 2^30607764440 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 30607764440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40061952000).

30607764440 is an abundant number, since it is smaller than the sum of its proper divisors (49516139560).

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

30607764440 is a wasteful number, since it uses less digits than its factorization.

30607764440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 41.

The spelling of 30607764440 in words is "thirty billion, six hundred seven million, seven hundred sixty-four thousand, four hundred forty".