30778684968960 has 624 divisors, whose sum is σ = 113122973208960. Its totient is φ = 7718790758400.

The previous prime is 30778684968947. The next prime is 30778684969007. The reversal of 30778684968960 is 6986948687703.

30778684968960 is a `hidden beast` number, since 3 + 0 + 7 + 7 + 8 + 68 + 496 + 8 + 9 + 60 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 30778684968960.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 479752885 + ... + 479817035.

It is an arithmetic number, because the mean of its divisors is an integer number (181286816040).

Almost surely, 2^{30778684968960} is an apocalyptic number.

30778684968960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30778684968960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56561486604480).

30778684968960 is an abundant number, since it is smaller than the sum of its proper divisors (82344288240000).

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

30778684968960 is a wasteful number, since it uses less digits than its factorization.

30778684968960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64342 (or 64317 counting only the distinct ones).

The product of its (nonzero) digits is 5267275776, while the sum is 81.

The spelling of 30778684968960 in words is "thirty trillion, seven hundred seventy-eight billion, six hundred eighty-four million, nine hundred sixty-eight thousand, nine hundred sixty".