30604981680 has 1600 divisors, whose sum is σ = 143738800128. Its totient is φ = 5852528640.

The previous prime is 30604981661. The next prime is 30604981739. The reversal of 30604981680 is 8618940603.

30604981680 is a `hidden beast` number, since 30 + 604 + 9 + 8 + 1 + 6 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 431056045 + ... + 431056115.

Almost surely, 2^30604981680 is an apocalyptic number.

30604981680 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 30604981680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71869400064).

30604981680 is an abundant number, since it is smaller than the sum of its proper divisors (113133818448).

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

30604981680 is a wasteful number, since it uses less digits than its factorization.

30604981680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 30604981680 in words is "thirty billion, six hundred four million, nine hundred eighty-one thousand, six hundred eighty".