8477736960 has 504 divisors, whose sum is σ = 34426830816. Its totient is φ = 1761607680.

The previous prime is 8477736941. The next prime is 8477736989. The reversal of 8477736960 is 696377748.

It is a self number, because there is not a number n which added to its sum of digits gives 8477736960.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 770703355 + ... + 770703365.

It is an arithmetic number, because the mean of its divisors is an integer number (68307204).

Almost surely, 2^8477736960 is an apocalyptic number.

8477736960 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 8477736960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17213415408).

8477736960 is an abundant number, since it is smaller than the sum of its proper divisors (25949093856).

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

8477736960 is an frugal number, since it uses more digits than its factorization.

8477736960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 10668672, while the sum is 57.

The square root of 8477736960 is about 92074.6271238716. The cubic root of 8477736960 is about 2039.0442274001.

The spelling of 8477736960 in words is "eight billion, four hundred seventy-seven million, seven hundred thirty-six thousand, nine hundred sixty".