6877440000 has 480 divisors, whose sum is σ = 25585560000. Its totient is φ = 1824768000.

The previous prime is 6877439983. The next prime is 6877440043. The reversal of 6877440000 is 447786.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 34559901 + ... + 34560099.

It is an arithmetic number, because the mean of its divisors is an integer number (53303250).

Almost surely, 2^6877440000 is an apocalyptic number.

6877440000 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 6877440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12792780000).

6877440000 is an abundant number, since it is smaller than the sum of its proper divisors (18708120000).

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

6877440000 is an equidigital number, since it uses as much as digits as its factorization.

6877440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 6877440000 is about 82930.3322072208. The cubic root of 6877440000 is about 1901.7011541737.

Adding to 6877440000 its reverse (447786), we get a palindrome (6877887786).

The spelling of 6877440000 in words is "six billion, eight hundred seventy-seven million, four hundred forty thousand".