30642340512 has 144 divisors (see below), whose sum is σ = 94754136960. Its totient is φ = 8644027392.

The previous prime is 30642340493. The next prime is 30642340517. The reversal of 30642340512 is 21504324603.

It is a self number, because there is not a number n which added to its sum of digits gives 30642340512.

It is not an unprimeable number, because it can be changed into a prime (30642340517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 330388 + ... + 412844.

It is an arithmetic number, because the mean of its divisors is an integer number (658014840).

Almost surely, 2^30642340512 is an apocalyptic number.

30642340512 is a gapful number since it is divisible by the number (32) 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 30642340512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47377068480).

30642340512 is an abundant number, since it is smaller than the sum of its proper divisors (64111796448).

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

30642340512 is a wasteful number, since it uses less digits than its factorization.

30642340512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82563 (or 82548 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The spelling of 30642340512 in words is "thirty billion, six hundred forty-two million, three hundred forty thousand, five hundred twelve".