30133276864704 has 336 divisors, whose sum is σ = 99326989681920. Its totient is φ = 8663282933760.

The previous prime is 30133276864633. The next prime is 30133276864777. The reversal of 30133276864704 is 40746867233103.

30133276864704 is a `hidden beast` number, since 30 + 133 + 2 + 7 + 6 + 8 + 6 + 470 + 4 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4493554 + ... + 8969870.

It is an arithmetic number, because the mean of its divisors is an integer number (295616040720).

Almost surely, 2^{30133276864704} 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 30133276864704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49663494840960).

30133276864704 is an abundant number, since it is smaller than the sum of its proper divisors (69193712817216).

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

30133276864704 is a wasteful number, since it uses less digits than its factorization.

30133276864704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4476408 (or 4476395 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 54.

The spelling of 30133276864704 in words is "thirty trillion, one hundred thirty-three billion, two hundred seventy-six million, eight hundred sixty-four thousand, seven hundred four".