30876993126336 has 336 divisors, whose sum is σ = 95281283940480. Its totient is φ = 8799019407360.

The previous prime is 30876993126313. The next prime is 30876993126337. The reversal of 30876993126336 is 63362139967803.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30876993126337) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7260047986 + ... + 7260052238.

Almost surely, 2^{30876993126336} 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 30876993126336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47640641970240).

30876993126336 is an abundant number, since it is smaller than the sum of its proper divisors (64404290814144).

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

30876993126336 is a wasteful number, since it uses less digits than its factorization.

30876993126336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6112 (or 6095 counting only the distinct ones).

The product of its (nonzero) digits is 158723712, while the sum is 66.

The spelling of 30876993126336 in words is "thirty trillion, eight hundred seventy-six billion, nine hundred ninety-three million, one hundred twenty-six thousand, three hundred thirty-six".