30676446000 has 480 divisors, whose sum is σ = 110835781056. Its totient is φ = 7902720000.

The previous prime is 30676445939. The next prime is 30676446011. The reversal of 30676446000 is 64467603.

30676446000 is a `hidden beast` number, since 3 + 0 + 6 + 7 + 6 + 44 + 600 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 145385895 + ... + 145386105.

Almost surely, 2^30676446000 is an apocalyptic number.

30676446000 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 30676446000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55417890528).

30676446000 is an abundant number, since it is smaller than the sum of its proper divisors (80159335056).

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

30676446000 is a wasteful number, since it uses less digits than its factorization.

30676446000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 30676446000 in words is "thirty billion, six hundred seventy-six million, four hundred forty-six thousand".