9767645664 has 192 divisors, whose sum is σ = 32028659712. Its totient is φ = 2541772800.

The previous prime is 9767645617. The next prime is 9767645677. The reversal of 9767645664 is 4665467679.

It is a junction number, because it is equal to n+sod(n) for n = 9767645598 and 9767645607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 340354 + ... + 367934.

It is an arithmetic number, because the mean of its divisors is an integer number (166815936).

Almost surely, 2^9767645664 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 9767645664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16014329856).

9767645664 is an abundant number, since it is smaller than the sum of its proper divisors (22261014048).

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

9767645664 is a wasteful number, since it uses less digits than its factorization.

9767645664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27649 (or 27641 counting only the distinct ones).

The product of its digits is 45722880, while the sum is 60.

The square root of 9767645664 is about 98831.4001924490. The cubic root of 9767645664 is about 2137.6173487505.

The spelling of 9767645664 in words is "nine billion, seven hundred sixty-seven million, six hundred forty-five thousand, six hundred sixty-four".