6865641600 has 96 divisors (see below), whose sum is σ = 22613738640. Its totient is φ = 1830835200.

The previous prime is 6865641589. The next prime is 6865641619. The reversal of 6865641600 is 61465686.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 347986 + ... + 367185.

Almost surely, 2^6865641600 is an apocalyptic number.

6865641600 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6865641600 is an abundant number, since it is smaller than the sum of its proper divisors (15748097040).

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

6865641600 is a wasteful number, since it uses less digits than its factorization.

6865641600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 715198 (or 715181 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 6865641600 is about 82859.1672659097. The cubic root of 6865641600 is about 1900.6130616302.

The spelling of 6865641600 in words is "six billion, eight hundred sixty-five million, six hundred forty-one thousand, six hundred".