6394465200 has 360 divisors, whose sum is σ = 22407829200. Its totient is φ = 1556674560.

The previous prime is 6394465183. The next prime is 6394465213. The reversal of 6394465200 is 25644936.

It is a super-2 number, since 2×6394465200² = 81778370388022080000, which contains 22 as substring.

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, 12562546 + ... + 12563054.

It is an arithmetic number, because the mean of its divisors is an integer number (62243970).

Almost surely, 2^6394465200 is an apocalyptic number.

6394465200 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 6394465200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11203914600).

6394465200 is an abundant number, since it is smaller than the sum of its proper divisors (16013364000).

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

6394465200 is a wasteful number, since it uses less digits than its factorization.

6394465200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 597 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 39.

The square root of 6394465200 is about 79965.4000177577. The cubic root of 6394465200 is about 1856.1001652120.

The spelling of 6394465200 in words is "six billion, three hundred ninety-four million, four hundred sixty-five thousand, two hundred".