9767054880 has 1152 divisors, whose sum is σ = 42796615680. Its totient is φ = 1995079680.

The previous prime is 9767054867. The next prime is 9767054881. The reversal of 9767054880 is 884507679.

9767054880 is a `hidden beast` number, since 97 + 6 + 7 + 0 + 548 + 8 + 0 = 666.

It is a super-2 number, since 2×9767054880² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (9767054881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 117675319 + ... + 117675401.

It is an arithmetic number, because the mean of its divisors is an integer number (37149840).

Almost surely, 2^9767054880 is an apocalyptic number.

9767054880 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 9767054880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21398307840).

9767054880 is an abundant number, since it is smaller than the sum of its proper divisors (33029560800).

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

9767054880 is a wasteful number, since it uses less digits than its factorization.

9767054880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The square root of 9767054880 is about 98828.4112995853. The cubic root of 9767054880 is about 2137.5742508320.

The spelling of 9767054880 in words is "nine billion, seven hundred sixty-seven million, fifty-four thousand, eight hundred eighty".