9268688977920 has 864 divisors, whose sum is σ = 34804956795840. Its totient is φ = 2339949772800.

The previous prime is 9268688977897. The next prime is 9268688977937. The reversal of 9268688977920 is 297798868629.

It is a tau number, because it is divible by the number of its divisors (864).

It is a self number, because there is not a number n which added to its sum of digits gives 9268688977920.

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, 6387793195 + ... + 6387794645.

It is an arithmetic number, because the mean of its divisors is an integer number (40283514810).

Almost surely, 2^{9268688977920} is an apocalyptic number.

9268688977920 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 9268688977920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17402478397920).

9268688977920 is an abundant number, since it is smaller than the sum of its proper divisors (25536267817920).

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

9268688977920 is an equidigital number, since it uses as much as digits as its factorization.

9268688977920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1537 (or 1480 counting only the distinct ones).

The product of its (nonzero) digits is 2633637888, while the sum is 81.

The spelling of 9268688977920 in words is "nine trillion, two hundred sixty-eight billion, six hundred eighty-eight million, nine hundred seventy-seven thousand, nine hundred twenty".