6368040000 has 945 divisors, whose sum is σ = 28002573027. Its totient is φ = 1378944000.

The previous prime is 6368039971. The next prime is 6368040059. The reversal of 6368040000 is 408636.

6368040000 = 1³ + 2³ + ... + 399³.

The square root of 6368040000 is 79800.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 499254336 + 5868785664 = 22344^2 + 76608^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 335159991 + ... + 335160009.

Almost surely, 2^6368040000 is an apocalyptic number.

6368040000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

6368040000 is the 79800-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6368040000

6368040000 is an abundant number, since it is smaller than the sum of its proper divisors (21634533027).

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

6368040000 is a wasteful number, since it uses less digits than its factorization.

6368040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The cubic root of 6368040000 is about 1853.5398501245.

Adding to 6368040000 its reverse (408636), we get a palindrome (6368448636).

The spelling of 6368040000 in words is "six billion, three hundred sixty-eight million, forty thousand".