78564330000 has 700 divisors, whose sum is σ = 307495679260. Its totient is φ = 19315584000.

The previous prime is 78564329981. The next prime is 78564330007. The reversal of 78564330000 is 3346587.

It is a happy number.

78564330000 is a `hidden beast` number, since 7 + 8 + 5 + 643 + 3 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 69613656336 + 8950673664 = 263844^2 + 94608^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78564330007) by changing a digit.

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 139 ways as a sum of consecutive naturals, for example, 94769586 + ... + 94770414.

Almost surely, 2^78564330000 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 78564330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153747839630).

78564330000 is an abundant number, since it is smaller than the sum of its proper divisors (228931349260).

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

78564330000 is an equidigital number, since it uses as much as digits as its factorization.

78564330000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 888 (or 852 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

Adding to 78564330000 its reverse (3346587), we get a palindrome (78567676587).

The spelling of 78564330000 in words is "seventy-eight billion, five hundred sixty-four million, three hundred thirty thousand".