6887963040 has 192 divisors, whose sum is σ = 24832604160. Its totient is φ = 1572111360.

The previous prime is 6887963039. The next prime is 6887963063. The reversal of 6887963040 is 403697886.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 3664821 + ... + 3666699.

It is an arithmetic number, because the mean of its divisors is an integer number (129336480).

Almost surely, 2^6887963040 is an apocalyptic number.

6887963040 is a gapful number since it is divisible by the number (60) 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 6887963040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12416302080).

6887963040 is an abundant number, since it is smaller than the sum of its proper divisors (17944641120).

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

6887963040 is a wasteful number, since it uses less digits than its factorization.

6887963040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2995 (or 2987 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 51.

The square root of 6887963040 is about 82993.7530179230. The cubic root of 6887963040 is about 1902.6705788184.

The spelling of 6887963040 in words is "six billion, eight hundred eighty-seven million, nine hundred sixty-three thousand, forty".