6345687040 has 256 divisors, whose sum is σ = 19025072640. Its totient is φ = 1973944320.

The previous prime is 6345687037. The next prime is 6345687071. The reversal of 6345687040 is 407865436.

It is a tau number, because it is divible by the number of its divisors (256).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12615429 + ... + 12615931.

It is an arithmetic number, because the mean of its divisors is an integer number (74316690).

Almost surely, 2^6345687040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6345687040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9512536320).

6345687040 is an abundant number, since it is smaller than the sum of its proper divisors (12679385600).

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

6345687040 is an equidigital number, since it uses as much as digits as its factorization.

6345687040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 43.

The square root of 6345687040 is about 79659.8207379354. The cubic root of 6345687040 is about 1851.3685554028.

The spelling of 6345687040 in words is "six billion, three hundred forty-five million, six hundred eighty-seven thousand, forty".