30786619968 has 280 divisors, whose sum is σ = 99905784440. Its totient is φ = 9316270080.

The previous prime is 30786619891. The next prime is 30786619973. The reversal of 30786619968 is 86991668703.

30786619968 is a `hidden beast` number, since 3 + 0 + 7 + 8 + 6 + 619 + 9 + 6 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 326597184 + 30460022784 = 18072^2 + 174528^2 .

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4107168 + ... + 4114656.

It is an arithmetic number, because the mean of its divisors is an integer number (356806373).

Almost surely, 2^30786619968 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 30786619968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49952892220).

30786619968 is an abundant number, since it is smaller than the sum of its proper divisors (69119164472).

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

30786619968 is a wasteful number, since it uses less digits than its factorization.

30786619968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7587 (or 7568 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The spelling of 30786619968 in words is "thirty billion, seven hundred eighty-six million, six hundred nineteen thousand, nine hundred sixty-eight".