9916421760 has 384 divisors, whose sum is σ = 40588329600. Its totient is φ = 2266361856.

The previous prime is 9916421731. The next prime is 9916421771. The reversal of 9916421760 is 671246199.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1084086 + ... + 1093194.

It is an arithmetic number, because the mean of its divisors is an integer number (105698775).

Almost surely, 2^9916421760 is an apocalyptic number.

9916421760 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 9916421760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20294164800).

9916421760 is an abundant number, since it is smaller than the sum of its proper divisors (30671907840).

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

9916421760 is an equidigital number, since it uses as much as digits as its factorization.

9916421760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9150 (or 9126 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 9916421760 is about 99581.2319666713. The cubic root of 9916421760 is about 2148.4157617231.

The spelling of 9916421760 in words is "nine billion, nine hundred sixteen million, four hundred twenty-one thousand, seven hundred sixty".