30736945642480 has 320 divisors, whose sum is σ = 92071998729216. Its totient is φ = 9264890880000.

The previous prime is 30736945642423. The next prime is 30736945642531. The reversal of 30736945642480 is 8424654963703.

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, 26178420 + ... + 27327340.

Almost surely, 2^{30736945642480} 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 30736945642480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46035999364608).

30736945642480 is an abundant number, since it is smaller than the sum of its proper divisors (61335053086736).

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

30736945642480 is a wasteful number, since it uses less digits than its factorization.

30736945642480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1149096 (or 1149090 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 61.

The spelling of 30736945642480 in words is "thirty trillion, seven hundred thirty-six billion, nine hundred forty-five million, six hundred forty-two thousand, four hundred eighty".