6340335264 has 240 divisors, whose sum is σ = 20266202880. Its totient is φ = 1937157120.

The previous prime is 6340335247. The next prime is 6340335289. The reversal of 6340335264 is 4625330436.

6340335264 is a `hidden beast` number, since 63 + 4 + 0 + 335 + 264 = 666.

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, 1524612 + ... + 1528764.

It is an arithmetic number, because the mean of its divisors is an integer number (84442512).

Almost surely, 2^6340335264 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 6340335264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10133101440).

6340335264 is an abundant number, since it is smaller than the sum of its proper divisors (13925867616).

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

6340335264 is a wasteful number, since it uses less digits than its factorization.

6340335264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4225 (or 4208 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 36.

The square root of 6340335264 is about 79626.2222135397. Note that the first 4 decimals coincide. The cubic root of 6340335264 is about 1850.8479447658.

The spelling of 6340335264 in words is "six billion, three hundred forty million, three hundred thirty-five thousand, two hundred sixty-four".