6397372800 has 576 divisors, whose sum is σ = 28106638560. Its totient is φ = 1349222400.

The previous prime is 6397372771. The next prime is 6397372801. The reversal of 6397372800 is 82737936.

It is a happy number.

6397372800 is a `hidden beast` number, since 639 + 7 + 3 + 7 + 2 + 8 + 0 + 0 = 666.

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 (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6397372801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2619580 + ... + 2622020.

Almost surely, 2^6397372800 is an apocalyptic number.

6397372800 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 6397372800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14053319280).

6397372800 is an abundant number, since it is smaller than the sum of its proper divisors (21709265760).

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

6397372800 is a wasteful number, since it uses less digits than its factorization.

6397372800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2491 (or 2471 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 6397372800 is about 79983.5783145515. The cubic root of 6397372800 is about 1856.3814490459.

The spelling of 6397372800 in words is "six billion, three hundred ninety-seven million, three hundred seventy-two thousand, eight hundred".