6378264144 has 90 divisors (see below), whose sum is σ = 20764635450. Its totient is φ = 1822359168.

The previous prime is 6378264143. The next prime is 6378264157. The reversal of 6378264144 is 4414628736.

6378264144 is a `hidden beast` number, since 6 + 378 + 264 + 14 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5489031744 + 889232400 = 74088^2 + 29820^2 .

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 6378264144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6378264143) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 444919 + ... + 459030.

Almost surely, 2^6378264144 is an apocalyptic number.

It is an amenable number.

6378264144 is an abundant number, since it is smaller than the sum of its proper divisors (14386371306).

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

6378264144 is a wasteful number, since it uses less digits than its factorization.

6378264144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 903977 (or 903961 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The square root of 6378264144 is about 79864.0353601044. The cubic root of 6378264144 is about 1854.5312972706.

The spelling of 6378264144 in words is "six billion, three hundred seventy-eight million, two hundred sixty-four thousand, one hundred forty-four".