6387876864 has 352 divisors, whose sum is σ = 20280038400. Its totient is φ = 1981808640.

The previous prime is 6387876863. The next prime is 6387876907. The reversal of 6387876864 is 4686787836.

It is not an unprimeable number, because it can be changed into a prime (6387876863) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24855424 + ... + 24855680.

Almost surely, 2^6387876864 is an apocalyptic number.

6387876864 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 6387876864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10140019200).

6387876864 is an abundant number, since it is smaller than the sum of its proper divisors (13892161536).

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

6387876864 is a wasteful number, since it uses less digits than its factorization.

6387876864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 322 counting only the distinct ones).

The product of its digits is 65028096, while the sum is 63.

The square root of 6387876864 is about 79924.1944845239. The cubic root of 6387876864 is about 1855.4624880256.

The spelling of 6387876864 in words is "six billion, three hundred eighty-seven million, eight hundred seventy-six thousand, eight hundred sixty-four".