30679847997264 has 120 divisors (see below), whose sum is σ = 87275578291200. Its totient is φ = 10058153022720.

The previous prime is 30679847997233. The next prime is 30679847997299. The reversal of 30679847997264 is 46279974897603.

30679847997264 is a `hidden beast` number, since 3 + 0 + 6 + 79 + 8 + 479 + 9 + 72 + 6 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 113697097 + ... + 113966615.

It is an arithmetic number, because the mean of its divisors is an integer number (727296485760).

Almost surely, 2^{30679847997264} 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 30679847997264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43637789145600).

30679847997264 is an abundant number, since it is smaller than the sum of its proper divisors (56595730293936).

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

30679847997264 is a wasteful number, since it uses less digits than its factorization.

30679847997264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282553 (or 282544 counting only the distinct ones).

The product of its (nonzero) digits is 6913299456, while the sum is 81.

The spelling of 30679847997264 in words is "thirty trillion, six hundred seventy-nine billion, eight hundred forty-seven million, nine hundred ninety-seven thousand, two hundred sixty-four".