9005676416 has 64 divisors (see below), whose sum is σ = 19819987200. Its totient is φ = 4041623040.

The previous prime is 9005676401. The next prime is 9005676431. The reversal of 9005676416 is 6146765009.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (9005676401) and next prime (9005676431).

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×9005676416² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 70751 + ... + 151713.

It is an arithmetic number, because the mean of its divisors is an integer number (309687300).

Almost surely, 2^9005676416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9005676416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9909993600).

9005676416 is an abundant number, since it is smaller than the sum of its proper divisors (10814310784).

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

9005676416 is a wasteful number, since it uses less digits than its factorization.

9005676416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81067 (or 81055 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 44.

The square root of 9005676416 is about 94898.2424284033. The cubic root of 9005676416 is about 2080.5210430371.

The spelling of 9005676416 in words is "nine billion, five million, six hundred seventy-six thousand, four hundred sixteen".