9116789760 has 880 divisors, whose sum is σ = 37450274400. Its totient is φ = 2102132736.

The previous prime is 9116789743. The next prime is 9116789777. The reversal of 9116789760 is 679876119.

It is an interprime number because it is at equal distance from previous prime (9116789743) and next prime (9116789777).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 9116789697 and 9116789706.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 102435796 + ... + 102435884.

It is an arithmetic number, because the mean of its divisors is an integer number (42557130).

Almost surely, 2^9116789760 is an apocalyptic number.

9116789760 is a gapful number since it is divisible by the number (90) 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 9116789760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18725137200).

9116789760 is an abundant number, since it is smaller than the sum of its proper divisors (28333484640).

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

9116789760 is a wasteful number, since it uses less digits than its factorization.

9116789760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 54.

The square root of 9116789760 is about 95481.8818415305. The cubic root of 9116789760 is about 2089.0426817674.

The spelling of 9116789760 in words is "nine billion, one hundred sixteen million, seven hundred eighty-nine thousand, seven hundred sixty".