30198085632 has 960 divisors, whose sum is σ = 113210697600. Its totient is φ = 7882997760.

The previous prime is 30198085571. The next prime is 30198085633. The reversal of 30198085632 is 23658089103.

It is a happy number.

30198085632 is a `hidden beast` number, since 3 + 0 + 1 + 9 + 8 + 0 + 8 + 5 + 632 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30198085633) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 450717663 + ... + 450717729.

It is an arithmetic number, because the mean of its divisors is an integer number (117927810).

Almost surely, 2^30198085632 is an apocalyptic number.

30198085632 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 30198085632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56605348800).

30198085632 is an abundant number, since it is smaller than the sum of its proper divisors (83012611968).

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

30198085632 is a wasteful number, since it uses less digits than its factorization.

30198085632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 30198085632 in words is "thirty billion, one hundred ninety-eight million, eighty-five thousand, six hundred thirty-two".