6587707968 has 140 divisors (see below), whose sum is σ = 20556128560. Its totient is φ = 2080297728.

The previous prime is 6587707963. The next prime is 6587707969. The reversal of 6587707968 is 8697077856.

It is not an unprimeable number, because it can be changed into a prime (6587707963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 65055 + ... + 131937.

Almost surely, 2^6587707968 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 6587707968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10278064280).

6587707968 is an abundant number, since it is smaller than the sum of its proper divisors (13968420592).

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

6587707968 is a wasteful number, since it uses less digits than its factorization.

6587707968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66926 (or 66907 counting only the distinct ones).

The product of its (nonzero) digits is 35562240, while the sum is 63.

The square root of 6587707968 is about 81164.6965619905. The cubic root of 6587707968 is about 1874.6122308509.

The spelling of 6587707968 in words is "six billion, five hundred eighty-seven million, seven hundred seven thousand, nine hundred sixty-eight".