6387268680 has 192 divisors, whose sum is σ = 22500419760. Its totient is φ = 1562056704.

The previous prime is 6387268673. The next prime is 6387268717. The reversal of 6387268680 is 868627836.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 113678244 + 6273590436 = 10662^2 + 79206^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 730414 + ... + 739106.

Almost surely, 2^6387268680 is an apocalyptic number.

6387268680 is a gapful number since it is divisible by the number (60) 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 6387268680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11250209880).

6387268680 is an abundant number, since it is smaller than the sum of its proper divisors (16113151080).

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

6387268680 is a wasteful number, since it uses less digits than its factorization.

6387268680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8880 (or 8873 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The square root of 6387268680 is about 79920.3896386898. The cubic root of 6387268680 is about 1855.4036005195.

The spelling of 6387268680 in words is "six billion, three hundred eighty-seven million, two hundred sixty-eight thousand, six hundred eighty".