8763666240 has 224 divisors, whose sum is σ = 32159082240. Its totient is φ = 1980481536.

The previous prime is 8763666239. The next prime is 8763666257. The reversal of 8763666240 is 426663678.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×8763666240² (a number of 21 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 8763666240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 590754 + ... + 605406.

Almost surely, 2^8763666240 is an apocalyptic number.

8763666240 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 8763666240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16079541120).

8763666240 is an abundant number, since it is smaller than the sum of its proper divisors (23395416000).

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

8763666240 is a wasteful number, since it uses less digits than its factorization.

8763666240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14769 (or 14759 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 48.

The square root of 8763666240 is about 93614.4552940410. The cubic root of 8763666240 is about 2061.7149008929.

The spelling of 8763666240 in words is "eight billion, seven hundred sixty-three million, six hundred sixty-six thousand, two hundred forty".