6393722400 has 432 divisors, whose sum is σ = 24602550336. Its totient is φ = 1552988160.

The previous prime is 6393722393. The next prime is 6393722437. The reversal of 6393722400 is 42273936.

It is a happy number.

It is a super-2 number, since 2×6393722400² = 81759372256523520000, which contains 22 as substring.

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

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, 7768389 + ... + 7769211.

It is an arithmetic number, because the mean of its divisors is an integer number (56950348).

Almost surely, 2^6393722400 is an apocalyptic number.

6393722400 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 6393722400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12301275168).

6393722400 is an abundant number, since it is smaller than the sum of its proper divisors (18208827936).

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

6393722400 is a wasteful number, since it uses less digits than its factorization.

6393722400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 945 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 6393722400 is about 79960.7553741209. The cubic root of 6393722400 is about 1856.0282923997.

The spelling of 6393722400 in words is "six billion, three hundred ninety-three million, seven hundred twenty-two thousand, four hundred".