30830400630 has 160 divisors (see below), whose sum is σ = 84157920000. Its totient is φ = 8097288768.

The previous prime is 30830400619. The next prime is 30830400647. The reversal of 30830400630 is 3600403803.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 30830400594 and 30830400603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 33547311 + ... + 33548229.

It is an arithmetic number, because the mean of its divisors is an integer number (525987000).

Almost surely, 2^30830400630 is an apocalyptic number.

30830400630 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 30830400630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42078960000).

30830400630 is an abundant number, since it is smaller than the sum of its proper divisors (53327519370).

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

30830400630 is a wasteful number, since it uses less digits than its factorization.

30830400630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1520 (or 1511 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The spelling of 30830400630 in words is "thirty billion, eight hundred thirty million, four hundred thousand, six hundred thirty".