6277684864 has 64 divisors (see below), whose sum is σ = 13771101600. Its totient is φ = 2826757120.

The previous prime is 6277684841. The next prime is 6277684867. The reversal of 6277684864 is 4684867726.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 6277684799 and 6277684808.

It is not an unprimeable number, because it can be changed into a prime (6277684867) 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 7 ways as a sum of consecutive naturals, for example, 129822 + ... + 171490.

Almost surely, 2^6277684864 is an apocalyptic number.

6277684864 is a gapful number since it is divisible by the number (64) 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 6277684864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6885550800).

6277684864 is an abundant number, since it is smaller than the sum of its proper divisors (7493416736).

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

6277684864 is a wasteful number, since it uses less digits than its factorization.

6277684864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41801 (or 41789 counting only the distinct ones).

The product of its digits is 21676032, while the sum is 58.

The square root of 6277684864 is about 79231.8424877271. The cubic root of 6277684864 is about 1844.7315276348.

The spelling of 6277684864 in words is "six billion, two hundred seventy-seven million, six hundred eighty-four thousand, eight hundred sixty-four".