12778373664 has 108 divisors (see below), whose sum is σ = 42271363134. Its totient is φ = 3650959872.

The previous prime is 12778373627. The next prime is 12778373711. The reversal of 12778373664 is 46637387721.

12778373664 is a `hidden beast` number, since 1 + 277 + 8 + 3 + 7 + 366 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 12164325264 + 614048400 = 110292^2 + 24780^2 .

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 12778373664.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 438637 + ... + 466860.

Almost surely, 2^12778373664 is an apocalyptic number.

12778373664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12778373664 is an abundant number, since it is smaller than the sum of its proper divisors (29492989470).

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

12778373664 is a wasteful number, since it uses less digits than its factorization.

12778373664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 905527 (or 905509 counting only the distinct ones).

The product of its digits is 7112448, while the sum is 54.

The spelling of 12778373664 in words is "twelve billion, seven hundred seventy-eight million, three hundred seventy-three thousand, six hundred sixty-four".