30506490864 has 200 divisors, whose sum is σ = 93054928032. Its totient is φ = 9629452800.

The previous prime is 30506490857. The next prime is 30506490893. The reversal of 30506490864 is 46809460503.

30506490864 is a `hidden beast` number, since 30 + 50 + 6 + 490 + 86 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3005542 + ... + 3015674.

Almost surely, 2^30506490864 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 30506490864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46527464016).

30506490864 is an abundant number, since it is smaller than the sum of its proper divisors (62548437168).

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

30506490864 is a wasteful number, since it uses less digits than its factorization.

30506490864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10277 (or 10262 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 30506490864 in words is "thirty billion, five hundred six million, four hundred ninety thousand, eight hundred sixty-four".