8916149760 has 960 divisors, whose sum is σ = 36945849600. Its totient is φ = 1820786688.

The previous prime is 8916149713. The next prime is 8916149761. The reversal of 8916149760 is 679416198.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8916149761) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 207352299 + ... + 207352341.

It is an arithmetic number, because the mean of its divisors is an integer number (38485260).

Almost surely, 2^8916149760 is an apocalyptic number.

8916149760 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 8916149760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18472924800).

8916149760 is an abundant number, since it is smaller than the sum of its proper divisors (28029699840).

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

8916149760 is a wasteful number, since it uses less digits than its factorization.

8916149760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 51.

The square root of 8916149760 is about 94425.3660834842. The cubic root of 8916149760 is about 2073.6038227715.

The spelling of 8916149760 in words is "eight billion, nine hundred sixteen million, one hundred forty-nine thousand, seven hundred sixty".