8476738560 has 352 divisors, whose sum is σ = 31905688320. Its totient is φ = 2126905344.

The previous prime is 8476738537. The next prime is 8476738583. The reversal of 8476738560 is 658376748.

8476738560 is a `hidden beast` number, since 8 + 4 + 7 + 6 + 73 + 8 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (8476738537) and next prime (8476738583).

It is a super-2 number, since 2×8476738560² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 8476738497 and 8476738506.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2348277 + ... + 2351883.

It is an arithmetic number, because the mean of its divisors is an integer number (90641160).

Almost surely, 2^8476738560 is an apocalyptic number.

8476738560 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 8476738560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15952844160).

8476738560 is an abundant number, since it is smaller than the sum of its proper divisors (23428949760).

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

8476738560 is a wasteful number, since it uses less digits than its factorization.

8476738560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3658 (or 3634 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The square root of 8476738560 is about 92069.2052751624. The cubic root of 8476738560 is about 2038.9641800287.

The spelling of 8476738560 in words is "eight billion, four hundred seventy-six million, seven hundred thirty-eight thousand, five hundred sixty".