6364040640 has 168 divisors, whose sum is σ = 20651766672. Its totient is φ = 1660416000.

The previous prime is 6364040629. The next prime is 6364040651. The reversal of 6364040640 is 460404636.

It is an interprime number because it is at equal distance from previous prime (6364040629) and next prime (6364040651).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2119140 + ... + 2122140.

Almost surely, 2^6364040640 is an apocalyptic number.

6364040640 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 6364040640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10325883336).

6364040640 is an abundant number, since it is smaller than the sum of its proper divisors (14287726032).

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

6364040640 is a wasteful number, since it uses less digits than its factorization.

6364040640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3115 (or 3058 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 33.

The square root of 6364040640 is about 79774.9374177128. The cubic root of 6364040640 is about 1853.1517387878.

The spelling of 6364040640 in words is "six billion, three hundred sixty-four million, forty thousand, six hundred forty".