12378755664 has 400 divisors, whose sum is σ = 42952250880. Its totient is φ = 3397489920.

The previous prime is 12378755663. The next prime is 12378755693. The reversal of 12378755664 is 46655787321.

12378755664 is a `hidden beast` number, since 1 + 2 + 3 + 7 + 8 + 75 + 566 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 12378755664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12378755663) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6228879 + ... + 6230865.

Almost surely, 2^12378755664 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 12378755664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21476125440).

12378755664 is an abundant number, since it is smaller than the sum of its proper divisors (30573495216).

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

12378755664 is a wasteful number, since it uses less digits than its factorization.

12378755664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2060 (or 2045 counting only the distinct ones).

The product of its digits is 8467200, while the sum is 54.

It can be divided in two parts, 123 and 78755664, that added together give a palindrome (78755787).

The spelling of 12378755664 in words is "twelve billion, three hundred seventy-eight million, seven hundred fifty-five thousand, six hundred sixty-four".