9776574640 has 320 divisors, whose sum is σ = 28488176640. Its totient is φ = 3045703680.

The previous prime is 9776574631. The next prime is 9776574653. The reversal of 9776574640 is 464756779.

It is a super-2 number, since 2×9776574640² (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (55) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31845367 + ... + 31845673.

It is an arithmetic number, because the mean of its divisors is an integer number (89025552).

Almost surely, 2^9776574640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9776574640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14244088320).

9776574640 is an abundant number, since it is smaller than the sum of its proper divisors (18711602000).

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

9776574640 is a wasteful number, since it uses less digits than its factorization.

9776574640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 8890560, while the sum is 55.

The square root of 9776574640 is about 98876.5626425191. The cubic root of 9776574640 is about 2138.2685094513.

The spelling of 9776574640 in words is "nine billion, seven hundred seventy-six million, five hundred seventy-four thousand, six hundred forty".