30506264064 has 200 divisors, whose sum is σ = 92777834160. Its totient is φ = 9976172544.

The previous prime is 30506264021. The next prime is 30506264069. The reversal of 30506264064 is 46046260503.

30506264064 is a `hidden beast` number, since 3 + 0 + 5 + 0 + 6 + 2 + 640 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30506264069) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2191077 + ... + 2204955.

Almost surely, 2^30506264064 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 30506264064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46388917080).

30506264064 is an abundant number, since it is smaller than the sum of its proper divisors (62271570096).

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

30506264064 is an equidigital number, since it uses as much as digits as its factorization.

30506264064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13962 (or 13937 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 30506264064 in words is "thirty billion, five hundred six million, two hundred sixty-four thousand, sixty-four".