30790829481984 has 2688 divisors, whose sum is σ = 118298827745280. Its totient is φ = 7567677849600.

The previous prime is 30790829481917. The next prime is 30790829482019. The reversal of 30790829481984 is 48918492809703.

30790829481984 is a `hidden beast` number, since 30 + 7 + 9 + 0 + 8 + 29 + 481 + 98 + 4 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 188900794287 + ... + 188900794449.

It is an arithmetic number, because the mean of its divisors is an integer number (44009980560).

Almost surely, 2^{30790829481984} 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 30790829481984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59149413872640).

30790829481984 is an abundant number, since it is smaller than the sum of its proper divisors (87507998263296).

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

30790829481984 is a wasteful number, since it uses less digits than its factorization.

30790829481984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 250822656, while the sum is 72.

The spelling of 30790829481984 in words is "thirty trillion, seven hundred ninety billion, eight hundred twenty-nine million, four hundred eighty-one thousand, nine hundred eighty-four".