30840749097984 has 660 divisors, whose sum is σ = 108082356841404. Its totient is φ = 8733533405184.

The previous prime is 30840749097929. The next prime is 30840749098009. The reversal of 30840749097984 is 48979094704803.

30840749097984 is a `hidden beast` number, since 3 + 0 + 8 + 40 + 7 + 490 + 9 + 7 + 98 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3005923737600 + 27834825360384 = 1733760^2 + 5275872^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 459227352 + ... + 459294504.

Almost surely, 2^{30840749097984} 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 30840749097984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54041178420702).

30840749097984 is an abundant number, since it is smaller than the sum of its proper divisors (77241607743420).

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

30840749097984 is a wasteful number, since it uses less digits than its factorization.

30840749097984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67312 (or 67278 counting only the distinct ones).

The product of its (nonzero) digits is 438939648, while the sum is 72.

The spelling of 30840749097984 in words is "thirty trillion, eight hundred forty billion, seven hundred forty-nine million, ninety-seven thousand, nine hundred eighty-four".