30878247665664 has 1440 divisors, whose sum is σ = 110507209752576. Its totient is φ = 8430507786240.

The previous prime is 30878247665651. The next prime is 30878247665701. The reversal of 30878247665664 is 46656674287803.

It is a happy number.

30878247665664 is a `hidden beast` number, since 30 + 8 + 7 + 8 + 2 + 476 + 65 + 6 + 64 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 30878247665592 and 30878247665601.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 88986304339 + ... + 88986304685.

Almost surely, 2^{30878247665664} 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 30878247665664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55253604876288).

30878247665664 is an abundant number, since it is smaller than the sum of its proper divisors (79628962086912).

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

30878247665664 is an equidigital number, since it uses as much as digits as its factorization.

30878247665664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 1950842880, while the sum is 72.

The spelling of 30878247665664 in words is "thirty trillion, eight hundred seventy-eight billion, two hundred forty-seven million, six hundred sixty-five thousand, six hundred sixty-four".