8745663360 has 512 divisors, whose sum is σ = 33563059200. Its totient is φ = 1895104512.

The previous prime is 8745663337. The next prime is 8745663389. The reversal of 8745663360 is 633665478.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 21382836 + ... + 21383244.

It is an arithmetic number, because the mean of its divisors is an integer number (65552850).

Almost surely, 2^8745663360 is an apocalyptic number.

8745663360 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 8745663360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16781529600).

8745663360 is an abundant number, since it is smaller than the sum of its proper divisors (24817395840).

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

8745663360 is a wasteful number, since it uses less digits than its factorization.

8745663360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 48.

The square root of 8745663360 is about 93518.2514806602. The cubic root of 8745663360 is about 2060.3021644922.

The spelling of 8745663360 in words is "eight billion, seven hundred forty-five million, six hundred sixty-three thousand, three hundred sixty".