30642634300 has 72 divisors (see below), whose sum is σ = 70447209840. Its totient is φ = 11529292800.

The previous prime is 30642634259. The next prime is 30642634307. The reversal of 30642634300 is 343624603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30642634307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3635491 + ... + 3643909.

It is an arithmetic number, because the mean of its divisors is an integer number (978433470).

Almost surely, 2^30642634300 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 30642634300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35223604920).

30642634300 is an abundant number, since it is smaller than the sum of its proper divisors (39804575540).

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

30642634300 is a wasteful number, since it uses less digits than its factorization.

30642634300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10591 (or 10584 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 31.

The spelling of 30642634300 in words is "thirty billion, six hundred forty-two million, six hundred thirty-four thousand, three hundred".