8013245760 has 336 divisors, whose sum is σ = 30785629056. Its totient is φ = 1972242432.

The previous prime is 8013245759. The next prime is 8013245791. The reversal of 8013245760 is 675423108.

8013245760 is a `hidden beast` number, since 80 + 1 + 3 + 2 + 4 + 576 + 0 = 666.

It is a super-2 number, since 2×8013245760² (a number of 21 digits) contains 22 as substring.

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, 1006917 + ... + 1014843.

It is an arithmetic number, because the mean of its divisors is an integer number (91623896).

Almost surely, 2^8013245760 is an apocalyptic number.

8013245760 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 8013245760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15392814528).

8013245760 is an abundant number, since it is smaller than the sum of its proper divisors (22772383296).

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

8013245760 is a wasteful number, since it uses less digits than its factorization.

8013245760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7972 (or 7950 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 8013245760 is about 89516.7345248920. The cubic root of 8013245760 is about 2001.1032046911.

Adding to 8013245760 its reverse (675423108), we get a palindrome (8688668868).

The spelling of 8013245760 in words is "eight billion, thirteen million, two hundred forty-five thousand, seven hundred sixty".