6413416109824 has 72 divisors (see below), whose sum is σ = 13375669642272. Its totient is φ = 3063315763200.

The previous prime is 6413416109813. The next prime is 6413416109917. The reversal of 6413416109824 is 4289016143146.

It is a super-2 number, since 2×6413416109824² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3846874 + ... + 5255974.

It is an arithmetic number, because the mean of its divisors is an integer number (185773189476).

Almost surely, 2^{6413416109824} is an apocalyptic number.

6413416109824 is a gapful number since it is divisible by the number (64) 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 6413416109824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6687834821136).

6413416109824 is an abundant number, since it is smaller than the sum of its proper divisors (6962253532448).

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

6413416109824 is a wasteful number, since it uses less digits than its factorization.

6413416109824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1409913 (or 1409899 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 49.

The spelling of 6413416109824 in words is "six trillion, four hundred thirteen billion, four hundred sixteen million, one hundred nine thousand, eight hundred twenty-four".