6413858181360 has 480 divisors, whose sum is σ = 24785981595648. Its totient is φ = 1455983216640.

The previous prime is 6413858181337. The next prime is 6413858181377. The reversal of 6413858181360 is 631818583146.

It is a happy number.

6413858181360 is a `hidden beast` number, since 6 + 41 + 3 + 8 + 581 + 8 + 13 + 6 + 0 = 666.

It is a super-2 number, since 2×6413858181360² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6413858181297 and 6413858181306.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 750769249 + ... + 750777791.

Almost surely, 2^{6413858181360} is an apocalyptic number.

6413858181360 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 6413858181360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12392990797824).

6413858181360 is an abundant number, since it is smaller than the sum of its proper divisors (18372123414288).

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

6413858181360 is a wasteful number, since it uses less digits than its factorization.

6413858181360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9573 (or 9564 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 6413858181360 in words is "six trillion, four hundred thirteen billion, eight hundred fifty-eight million, one hundred eighty-one thousand, three hundred sixty".