6314000640 has 432 divisors, whose sum is σ = 21920673600. Its totient is φ = 1546567680.

The previous prime is 6314000639. The next prime is 6314000653. The reversal of 6314000640 is 460004136.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 6314000640.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 107016931 + ... + 107016989.

It is an arithmetic number, because the mean of its divisors is an integer number (50742300).

Almost surely, 2^6314000640 is an apocalyptic number.

6314000640 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 6314000640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10960336800).

6314000640 is an abundant number, since it is smaller than the sum of its proper divisors (15606672960).

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

6314000640 is a wasteful number, since it uses less digits than its factorization.

6314000640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 6314000640 is about 79460.6861284245. The cubic root of 6314000640 is about 1848.2818857497.

Adding to 6314000640 its reverse (460004136), we get a palindrome (6774004776).

The spelling of 6314000640 in words is "six billion, three hundred fourteen million, six hundred forty", and thus it is an aban number.