9767780980960 has 192 divisors, whose sum is σ = 24433087795200. Its totient is φ = 3679836825600.

The previous prime is 9767780980943. The next prime is 9767780981003. The reversal of 9767780980960 is 690890877679.

It is a Harshad number since it is a multiple of its sum of digits (76).

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, 1178114415 + ... + 1178122705.

It is an arithmetic number, because the mean of its divisors is an integer number (127255665600).

Almost surely, 2^{9767780980960} 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 9767780980960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12216543897600).

9767780980960 is an abundant number, since it is smaller than the sum of its proper divisors (14665306814240).

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

9767780980960 is a wasteful number, since it uses less digits than its factorization.

9767780980960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10545 (or 10537 counting only the distinct ones).

The product of its (nonzero) digits is 576108288, while the sum is 76.

The spelling of 9767780980960 in words is "nine trillion, seven hundred sixty-seven billion, seven hundred eighty million, nine hundred eighty thousand, nine hundred sixty".