6368997600 has 720 divisors, whose sum is σ = 27979459200. Its totient is φ = 1377285120.

The previous prime is 6368997571. The next prime is 6368997601. The reversal of 6368997600 is 67998636.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6368997601) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 8618031 + ... + 8618769.

It is an arithmetic number, because the mean of its divisors is an integer number (38860360).

Almost surely, 2^6368997600 is an apocalyptic number.

6368997600 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 6368997600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13989729600).

6368997600 is an abundant number, since it is smaller than the sum of its proper divisors (21610461600).

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

6368997600 is a wasteful number, since it uses less digits than its factorization.

6368997600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 797 (or 775 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The square root of 6368997600 is about 79805.9997744530. Note that the first 3 decimals coincide. The cubic root of 6368997600 is about 1853.6327547334.

The spelling of 6368997600 in words is "six billion, three hundred sixty-eight million, nine hundred ninety-seven thousand, six hundred".