6895664160 has 432 divisors, whose sum is σ = 27785032128. Its totient is φ = 1432273920.

The previous prime is 6895664147. The next prime is 6895664161. The reversal of 6895664160 is 614665986.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (6895664161) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2844709 + ... + 2847131.

It is an arithmetic number, because the mean of its divisors is an integer number (64317204).

Almost surely, 2^6895664160 is an apocalyptic number.

6895664160 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 6895664160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13892516064).

6895664160 is an abundant number, since it is smaller than the sum of its proper divisors (20889367968).

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

6895664160 is a wasteful number, since it uses less digits than its factorization.

6895664160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2477 (or 2451 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 51.

The square root of 6895664160 is about 83040.1358380392. The cubic root of 6895664160 is about 1903.3794113578.

The spelling of 6895664160 in words is "six billion, eight hundred ninety-five million, six hundred sixty-four thousand, one hundred sixty".