9776493909000 has 4096 divisors, whose sum is σ = 47340453888000. Its totient is φ = 1805923123200.

The previous prime is 9776493908989. The next prime is 9776493909001. The reversal of 9776493909000 is 9093946779.

9776493909000 is a `hidden beast` number, since 97 + 76 + 4 + 9 + 390 + 90 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (9776493909001) by changing a digit.

It is a polite number, since it can be written in 1023 ways as a sum of consecutive naturals, for example, 76980266937 + ... + 76980267063.

It is an arithmetic number, because the mean of its divisors is an integer number (11557728000).

Almost surely, 2^{9776493909000} is an apocalyptic number.

9776493909000 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 9776493909000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23670226944000).

9776493909000 is an abundant number, since it is smaller than the sum of its proper divisors (37563959979000).

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

9776493909000 is a wasteful number, since it uses less digits than its factorization.

9776493909000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 23147208, while the sum is 63.

The spelling of 9776493909000 in words is "nine trillion, seven hundred seventy-six billion, four hundred ninety-three million, nine hundred nine thousand".