6368342400 has 576 divisors, whose sum is σ = 26833996800. Its totient is φ = 1407283200.

The previous prime is 6368342389. The next prime is 6368342417. The reversal of 6368342400 is 42438636.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6249091 + ... + 6250109.

It is an arithmetic number, because the mean of its divisors is an integer number (46586800).

Almost surely, 2^6368342400 is an apocalyptic number.

6368342400 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 6368342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13416998400).

6368342400 is an abundant number, since it is smaller than the sum of its proper divisors (20465654400).

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

6368342400 is a wasteful number, since it uses less digits than its factorization.

6368342400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1087 (or 1067 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 6368342400 is about 79801.8947143487. The cubic root of 6368342400 is about 1853.5691894282.

The spelling of 6368342400 in words is "six billion, three hundred sixty-eight million, three hundred forty-two thousand, four hundred".