30412006632 has 320 divisors, whose sum is σ = 105789235200. Its totient is φ = 7965578880.

The previous prime is 30412006579. The next prime is 30412006661. The reversal of 30412006632 is 23660021403.

30412006632 is a `hidden beast` number, since 3 + 0 + 4 + 1 + 20 + 0 + 6 + 632 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 30412006596 and 30412006605.

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, 2666013 + ... + 2677395.

It is an arithmetic number, because the mean of its divisors is an integer number (330591360).

Almost surely, 2^30412006632 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 30412006632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52894617600).

30412006632 is an abundant number, since it is smaller than the sum of its proper divisors (75377228568).

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

30412006632 is a wasteful number, since it uses less digits than its factorization.

30412006632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11458 (or 11445 counting only the distinct ones).

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

The spelling of 30412006632 in words is "thirty billion, four hundred twelve million, six thousand, six hundred thirty-two".