9777664512 has 480 divisors, whose sum is σ = 37274649984. Its totient is φ = 2388787200.

The previous prime is 9777664483. The next prime is 9777664531. The reversal of 9777664512 is 2154667779.

It is a super-3 number, since 3×9777664512³ (a number of 31 digits) contains 333 as substring.

Its product of digits (4445280) is a multiple of the sum of its prime factors (1680).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6031062 + ... + 6032682.

Almost surely, 2^9777664512 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 9777664512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18637324992).

9777664512 is an abundant number, since it is smaller than the sum of its proper divisors (27496985472).

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

9777664512 is a wasteful number, since it uses less digits than its factorization.

9777664512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1680 (or 1661 counting only the distinct ones).

The product of its digits is 4445280, while the sum is 54.

The square root of 9777664512 is about 98882.0737646617. The cubic root of 9777664512 is about 2138.3479630592.

The spelling of 9777664512 in words is "nine billion, seven hundred seventy-seven million, six hundred sixty-four thousand, five hundred twelve".