9006955776 has 972 divisors, whose sum is σ = 36355039812. Its totient is φ = 2118057984.

The previous prime is 9006955739. The next prime is 9006955781. The reversal of 9006955776 is 6775596009.

9006955776 is a `hidden beast` number, since 9 + 0 + 0 + 69 + 5 + 577 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4075545600 + 4931410176 = 63840^2 + 70224^2 .

It is a super-2 number, since 2×9006955776² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 474050295 + ... + 474050313.

Almost surely, 2^9006955776 is an apocalyptic number.

9006955776 is a gapful number since it is divisible by the number (96) 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 9006955776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18177519906).

9006955776 is an abundant number, since it is smaller than the sum of its proper divisors (27348084036).

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

9006955776 is a wasteful number, since it uses less digits than its factorization.

9006955776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 3572100, while the sum is 54.

The square root of 9006955776 is about 94904.9828828813. The cubic root of 9006955776 is about 2080.6195590265.

The spelling of 9006955776 in words is "nine billion, six million, nine hundred fifty-five thousand, seven hundred seventy-six".