6397251840 has 432 divisors, whose sum is σ = 25827984000. Its totient is φ = 1461325824.

The previous prime is 6397251803. The next prime is 6397251859. The reversal of 6397251840 is 481527936.

6397251840 is a `hidden beast` number, since 6 + 3 + 97 + 2 + 518 + 40 = 666.

6397251840 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×6397251840² = 81849662208766771200, which contains 22 as substring.

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

6397251840 is strictly pandigital in base 10.

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, 3950551 + ... + 3952169.

It is an arithmetic number, because the mean of its divisors is an integer number (59787000).

It is a 2-persistent number, because it is pandigital, and so is 2⋅6397251840 = 12794503680, but 3⋅6397251840 = 19191755520 is not.

Almost surely, 2^6397251840 is an apocalyptic number.

6397251840 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 6397251840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12913992000).

6397251840 is an abundant number, since it is smaller than the sum of its proper divisors (19430732160).

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

6397251840 is a wasteful number, since it uses less digits than its factorization.

6397251840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1667 (or 1636 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 6397251840 is about 79982.8221557604. The cubic root of 6397251840 is about 1856.3697489662.

The spelling of 6397251840 in words is "six billion, three hundred ninety-seven million, two hundred fifty-one thousand, eight hundred forty".