6286626864 has 160 divisors (see below), whose sum is σ = 20653678080. Its totient is φ = 1793491200.

The previous prime is 6286626859. The next prime is 6286626889. The reversal of 6286626864 is 4686266826.

6286626864 is a `hidden beast` number, since 6 + 2 + 8 + 6 + 626 + 8 + 6 + 4 = 666.

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

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 6286626864.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2935234 + ... + 2937374.

It is an arithmetic number, because the mean of its divisors is an integer number (129085488).

Almost surely, 2^6286626864 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 6286626864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10326839040).

6286626864 is an abundant number, since it is smaller than the sum of its proper divisors (14367051216).

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

6286626864 is a wasteful number, since it uses less digits than its factorization.

6286626864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3136 (or 3124 counting only the distinct ones).

The product of its digits is 7962624, while the sum is 54.

The square root of 6286626864 is about 79288.2517400907. The cubic root of 6286626864 is about 1845.6069970531.

The spelling of 6286626864 in words is "six billion, two hundred eighty-six million, six hundred twenty-six thousand, eight hundred sixty-four".