6397440000 has 780 divisors, whose sum is σ = 26253989784. Its totient is φ = 1376256000.

The previous prime is 6397439989. The next prime is 6397440029. The reversal of 6397440000 is 447936.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 376319992 + ... + 376320008.

Almost surely, 2^6397440000 is an apocalyptic number.

6397440000 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 6397440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13126994892).

6397440000 is an abundant number, since it is smaller than the sum of its proper divisors (19856549784).

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

6397440000 is an equidigital number, since it uses as much as digits as its factorization.

6397440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 6397440000 is about 79983.9983996799. The cubic root of 6397440000 is about 1856.3879490265.

Adding to 6397440000 its reverse (447936), we get a palindrome (6397887936).

The spelling of 6397440000 in words is "six billion, three hundred ninety-seven million, four hundred forty thousand".