9027782760960 has 800 divisors, whose sum is σ = 32772874223232. Its totient is φ = 2374972047360.

The previous prime is 9027782760949. The next prime is 9027782760967. The reversal of 9027782760960 is 690672877209.

9027782760960 is a `hidden beast` number, since 9 + 0 + 277 + 8 + 276 + 0 + 96 + 0 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (9027782760967) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7069523842 + ... + 7069525118.

Almost surely, 2^{9027782760960} is an apocalyptic number.

9027782760960 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 9027782760960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16386437111616).

9027782760960 is an abundant number, since it is smaller than the sum of its proper divisors (23745091462272).

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

9027782760960 is a wasteful number, since it uses less digits than its factorization.

9027782760960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1746 (or 1721 counting only the distinct ones).

The product of its (nonzero) digits is 32006016, while the sum is 63.

The spelling of 9027782760960 in words is "nine trillion, twenty-seven billion, seven hundred eighty-two million, seven hundred sixty thousand, nine hundred sixty".