8413713360 has 240 divisors, whose sum is σ = 30522046464. Its totient is φ = 2064780288.

The previous prime is 8413713353. The next prime is 8413713391. The reversal of 8413713360 is 633173148.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3583707 + ... + 3586053.

Almost surely, 2^8413713360 is an apocalyptic number.

8413713360 is a gapful number since it is divisible by the number (80) 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 8413713360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15261023232).

8413713360 is an abundant number, since it is smaller than the sum of its proper divisors (22108333104).

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

8413713360 is a wasteful number, since it uses less digits than its factorization.

8413713360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2762 (or 2753 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 8413713360 is about 91726.2959025382. The cubic root of 8413713360 is about 2033.8983192732.

The spelling of 8413713360 in words is "eight billion, four hundred thirteen million, seven hundred thirteen thousand, three hundred sixty".