6413503200 has 576 divisors, whose sum is σ = 24498432000. Its totient is φ = 1443225600.

The previous prime is 6413503199. The next prime is 6413503307. The reversal of 6413503200 is 23053146.

It is a happy number.

It is a super-2 number, since 2×6413503200² = 82266046592820480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18376626 + ... + 18376974.

It is an arithmetic number, because the mean of its divisors is an integer number (42532000).

Almost surely, 2^6413503200 is an apocalyptic number.

6413503200 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 6413503200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12249216000).

6413503200 is an abundant number, since it is smaller than the sum of its proper divisors (18084928800).

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

6413503200 is a wasteful number, since it uses less digits than its factorization.

6413503200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 6413503200 is about 80084.3505311743. The cubic root of 6413503200 is about 1857.9403724912.

Adding to 6413503200 its reverse (23053146), we get a palindrome (6436556346).

The spelling of 6413503200 in words is "six billion, four hundred thirteen million, five hundred three thousand, two hundred".