8047663560 has 288 divisors, whose sum is σ = 28533960000. Its totient is φ = 1961584128.

The previous prime is 8047663529. The next prime is 8047663567. The reversal of 8047663560 is 653667408.

8047663560 is a `hidden beast` number, since 8 + 0 + 4 + 7 + 6 + 635 + 6 + 0 = 666.

It is a super-3 number, since 3×8047663560³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8047663567) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5751741 + ... + 5753139.

It is an arithmetic number, because the mean of its divisors is an integer number (99076250).

Almost surely, 2^8047663560 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 8047663560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14266980000).

8047663560 is an abundant number, since it is smaller than the sum of its proper divisors (20486296440).

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

8047663560 is a wasteful number, since it uses less digits than its factorization.

8047663560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1493 (or 1457 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 8047663560 is about 89708.7708086562. The cubic root of 8047663560 is about 2003.9641010936.

The spelling of 8047663560 in words is "eight billion, forty-seven million, six hundred sixty-three thousand, five hundred sixty".