6413515200 has 840 divisors, whose sum is σ = 25930152864. Its totient is φ = 1548288000.

The previous prime is 6413515193. The next prime is 6413515219. The reversal of 6413515200 is 25153146.

6413515200 is a `hidden beast` number, since 6 + 4 + 135 + 1 + 520 + 0 = 666.

It is a super-2 number, since 2×6413515200² = 82266354441262080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 90331165 + ... + 90331235.

Almost surely, 2^6413515200 is an apocalyptic number.

6413515200 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 6413515200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12965076432).

6413515200 is an abundant number, since it is smaller than the sum of its proper divisors (19516637664).

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

6413515200 is a wasteful number, since it uses less digits than its factorization.

6413515200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 6413515200 is about 80084.4254521439. The cubic root of 6413515200 is about 1857.9415312584.

Adding to 6413515200 its reverse (25153146), we get a palindrome (6438668346).

The spelling of 6413515200 in words is "six billion, four hundred thirteen million, five hundred fifteen thousand, two hundred".