8754283440 has 640 divisors, whose sum is σ = 37483315200. Its totient is φ = 1832647680.

The previous prime is 8754283411. The next prime is 8754283477. The reversal of 8754283440 is 443824578.

It is a happy number.

8754283440 is a `hidden beast` number, since 87 + 54 + 2 + 83 + 440 = 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 127 ways as a sum of consecutive naturals, for example, 8905189 + ... + 8906171.

It is an arithmetic number, because the mean of its divisors is an integer number (58567680).

Almost surely, 2^8754283440 is an apocalyptic number.

8754283440 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 8754283440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18741657600).

8754283440 is an abundant number, since it is smaller than the sum of its proper divisors (28729031760).

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

8754283440 is a wasteful number, since it uses less digits than its factorization.

8754283440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1062 (or 1050 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The square root of 8754283440 is about 93564.3278178174. The cubic root of 8754283440 is about 2060.9788479700.

The spelling of 8754283440 in words is "eight billion, seven hundred fifty-four million, two hundred eighty-three thousand, four hundred forty".