9761342976 has 720 divisors, whose sum is σ = 36846954144. Its totient is φ = 2433024000.

The previous prime is 9761342959. The next prime is 9761342977. The reversal of 9761342976 is 6792431679.

It is a happy number.

9761342976 is a `hidden beast` number, since 97 + 61 + 3 + 429 + 76 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9761342977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 160021986 + ... + 160022046.

Almost surely, 2^9761342976 is an apocalyptic number.

9761342976 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 9761342976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18423477072).

9761342976 is an abundant number, since it is smaller than the sum of its proper divisors (27085611168).

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

9761342976 is a wasteful number, since it uses less digits than its factorization.

9761342976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 125 counting only the distinct ones).

The product of its digits is 3429216, while the sum is 54.

The square root of 9761342976 is about 98799.5089866341. The cubic root of 9761342976 is about 2137.1574755962.

The spelling of 9761342976 in words is "nine billion, seven hundred sixty-one million, three hundred forty-two thousand, nine hundred seventy-six".