30642944640 has 512 divisors, whose sum is σ = 128196864000. Its totient is φ = 6031687680.

The previous prime is 30642944639. The next prime is 30642944671. The reversal of 30642944640 is 4644924603.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 30642944592 and 30642944601.

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, 2803506 + ... + 2814414.

It is an arithmetic number, because the mean of its divisors is an integer number (250384500).

Almost surely, 2^30642944640 is an apocalyptic number.

30642944640 is a gapful number since it is divisible by the number (30) 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 30642944640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64098432000).

30642944640 is an abundant number, since it is smaller than the sum of its proper divisors (97553919360).

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

30642944640 is a wasteful number, since it uses less digits than its factorization.

30642944640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10968 (or 10956 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 42.

The spelling of 30642944640 in words is "thirty billion, six hundred forty-two million, nine hundred forty-four thousand, six hundred forty".