9766478700 has 432 divisors, whose sum is σ = 34889766912. Its totient is φ = 2282544000.

The previous prime is 9766478663. The next prime is 9766478773. The reversal of 9766478700 is 78746679.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 37134769 + ... + 37135031.

Almost surely, 2^9766478700 is an apocalyptic number.

9766478700 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 9766478700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17444883456).

9766478700 is an abundant number, since it is smaller than the sum of its proper divisors (25123288212).

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

9766478700 is a wasteful number, since it uses less digits than its factorization.

9766478700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 54.

The square root of 9766478700 is about 98825.4962041679. The cubic root of 9766478700 is about 2137.5322166069.

The spelling of 9766478700 in words is "nine billion, seven hundred sixty-six million, four hundred seventy-eight thousand, seven hundred".