9776838816 has 216 divisors, whose sum is σ = 29536363584. Its totient is φ = 3067165440.

The previous prime is 9776838811. The next prime is 9776838833. The reversal of 9776838816 is 6188386779.

Its product of digits (24385536) is a multiple of the sum of its prime factors (672).

It is not an unprimeable number, because it can be changed into a prime (9776838811) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 28175155 + ... + 28175501.

It is an arithmetic number, because the mean of its divisors is an integer number (136742424).

Almost surely, 2^9776838816 is an apocalyptic number.

9776838816 is a gapful number since it is divisible by the number (96) 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 9776838816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14768181792).

9776838816 is an abundant number, since it is smaller than the sum of its proper divisors (19759524768).

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

9776838816 is a wasteful number, since it uses less digits than its factorization.

9776838816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672 (or 642 counting only the distinct ones).

The product of its digits is 24385536, while the sum is 63.

The square root of 9776838816 is about 98877.8985213581. The cubic root of 9776838816 is about 2138.2877688938.

The spelling of 9776838816 in words is "nine billion, seven hundred seventy-six million, eight hundred thirty-eight thousand, eight hundred sixteen".