6287053968 has 180 divisors, whose sum is σ = 20130396468. Its totient is φ = 1820528640.

The previous prime is 6287053961. The next prime is 6287053987. The reversal of 6287053968 is 8693507826.

It is a happy number.

6287053968 is a `hidden beast` number, since 628 + 7 + 0 + 5 + 3 + 9 + 6 + 8 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 148644864 + 6138409104 = 12192^2 + 78348^2 .

It is not an unprimeable number, because it can be changed into a prime (6287053961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 535198 + ... + 546818.

Almost surely, 2^6287053968 is an apocalyptic number.

6287053968 is a gapful number since it is divisible by the number (68) 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 6287053968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10065198234).

6287053968 is an abundant number, since it is smaller than the sum of its proper divisors (13843342500).

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

6287053968 is a wasteful number, since it uses less digits than its factorization.

6287053968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11682 (or 11656 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The square root of 6287053968 is about 79290.9450567970. The cubic root of 6287053968 is about 1845.6487920303.

The spelling of 6287053968 in words is "six billion, two hundred eighty-seven million, fifty-three thousand, nine hundred sixty-eight".