6397747200 has 672 divisors, whose sum is σ = 25596799200. Its totient is φ = 1557135360.

The previous prime is 6397747199. The next prime is 6397747259. The reversal of 6397747200 is 27477936.

It is a happy number.

6397747200 is a `hidden beast` number, since 639 + 7 + 7 + 4 + 7 + 2 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 71884756 + ... + 71884844.

It is an arithmetic number, because the mean of its divisors is an integer number (38090475).

Almost surely, 2^6397747200 is an apocalyptic number.

6397747200 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 6397747200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12798399600).

6397747200 is an abundant number, since it is smaller than the sum of its proper divisors (19199052000).

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

6397747200 is a wasteful number, since it uses less digits than its factorization.

6397747200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 444528, while the sum is 45.

The square root of 6397747200 is about 79985.9187607419. The cubic root of 6397747200 is about 1856.4176626437.

The spelling of 6397747200 in words is "six billion, three hundred ninety-seven million, seven hundred forty-seven thousand, two hundred".