8917421760 has 224 divisors, whose sum is σ = 33879007680. Its totient is φ = 2195030016.

The previous prime is 8917421717. The next prime is 8917421761. The reversal of 8917421760 is 671247198.

It is a happy number.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (8917421761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72624 + ... + 152016.

It is an arithmetic number, because the mean of its divisors is an integer number (151245570).

Almost surely, 2^8917421760 is an apocalyptic number.

8917421760 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 8917421760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16939503840).

8917421760 is an abundant number, since it is smaller than the sum of its proper divisors (24961585920).

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

8917421760 is a wasteful number, since it uses less digits than its factorization.

8917421760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79432 (or 79416 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The square root of 8917421760 is about 94432.1013215315. The cubic root of 8917421760 is about 2073.7024265677.

The spelling of 8917421760 in words is "eight billion, nine hundred seventeen million, four hundred twenty-one thousand, seven hundred sixty".