9766495440 has 480 divisors, whose sum is σ = 36943635456. Its totient is φ = 2295889920.

The previous prime is 9766495421. The next prime is 9766495441. The reversal of 9766495440 is 445946679.

It is a happy number.

9766495440 is a `hidden beast` number, since 97 + 6 + 6 + 4 + 9 + 544 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9766495441) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28145347 + ... + 28145693.

Almost surely, 2^9766495440 is an apocalyptic number.

9766495440 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 9766495440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18471817728).

9766495440 is an abundant number, since it is smaller than the sum of its proper divisors (27177140016).

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

9766495440 is a wasteful number, since it uses less digits than its factorization.

9766495440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The square root of 9766495440 is about 98825.5808988746. The cubic root of 9766495440 is about 2137.5334378682.

The spelling of 9766495440 in words is "nine billion, seven hundred sixty-six million, four hundred ninety-five thousand, four hundred forty".