8709755040 has 960 divisors, whose sum is σ = 38405283840. Its totient is φ = 1813985280.

The previous prime is 8709755017. The next prime is 8709755051. The reversal of 8709755040 is 405579078.

8709755040 is a `hidden beast` number, since 8 + 7 + 0 + 97 + 550 + 4 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 53433999 + ... + 53434161.

It is an arithmetic number, because the mean of its divisors is an integer number (40005504).

Almost surely, 2^8709755040 is an apocalyptic number.

8709755040 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 8709755040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19202641920).

8709755040 is an abundant number, since it is smaller than the sum of its proper divisors (29695528800).

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

8709755040 is a wasteful number, since it uses less digits than its factorization.

8709755040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The square root of 8709755040 is about 93326.0683839194. The cubic root of 8709755040 is about 2057.4785374833.

The spelling of 8709755040 in words is "eight billion, seven hundred nine million, seven hundred fifty-five thousand, forty".