30676630852944 has 320 divisors, whose sum is σ = 98278629408000. Its totient is φ = 9104623534080.

The previous prime is 30676630852909. The next prime is 30676630853083. The reversal of 30676630852944 is 44925803667603.

30676630852944 is a `hidden beast` number, since 3 + 0 + 6 + 7 + 6 + 63 + 0 + 8 + 529 + 44 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 98775984 + ... + 99086064.

It is an arithmetic number, because the mean of its divisors is an integer number (307120716900).

Almost surely, 2^{30676630852944} is an apocalyptic number.

30676630852944 is a gapful number since it is divisible by the number (34) 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 30676630852944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49139314704000).

30676630852944 is an abundant number, since it is smaller than the sum of its proper divisors (67601998555056).

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

30676630852944 is a wasteful number, since it uses less digits than its factorization.

30676630852944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310843 (or 310831 counting only the distinct ones).

The product of its (nonzero) digits is 156764160, while the sum is 63.

The spelling of 30676630852944 in words is "thirty trillion, six hundred seventy-six billion, six hundred thirty million, eight hundred fifty-two thousand, nine hundred forty-four".