6413870736 has 640 divisors, whose sum is σ = 24709529600. Its totient is φ = 1545246720.

The previous prime is 6413870731. The next prime is 6413870747. The reversal of 6413870736 is 6370783146.

It is a super-2 number, since 2×6413870736² = 82275475636234363392, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6413870691 and 6413870700.

It is not an unprimeable number, because it can be changed into a prime (6413870731) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 23154630 + ... + 23154906.

It is an arithmetic number, because the mean of its divisors is an integer number (38608640).

Almost surely, 2^6413870736 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6413870736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12354764800).

6413870736 is an abundant number, since it is smaller than the sum of its proper divisors (18295658864).

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

6413870736 is a wasteful number, since it uses less digits than its factorization.

6413870736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 6413870736 is about 80086.6451788312. The cubic root of 6413870736 is about 1857.9758625558.

The spelling of 6413870736 in words is "six billion, four hundred thirteen million, eight hundred seventy thousand, seven hundred thirty-six".