9486788857728 has 960 divisors, whose sum is σ = 32236462540800. Its totient is φ = 2464451039232.

The previous prime is 9486788857717. The next prime is 9486788857753. The reversal of 9486788857728 is 8277588876849.

It is a super-2 number, since 2×9486788857728² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 68250279483 + ... + 68250279621.

It is an arithmetic number, because the mean of its divisors is an integer number (33579648480).

Almost surely, 2^{9486788857728} is an apocalyptic number.

9486788857728 is a gapful number since it is divisible by the number (98) 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 9486788857728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16118231270400).

9486788857728 is an abundant number, since it is smaller than the sum of its proper divisors (22749673683072).

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

9486788857728 is a wasteful number, since it uses less digits than its factorization.

9486788857728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 291 counting only the distinct ones).

The product of its digits is 24277155840, while the sum is 87.

The spelling of 9486788857728 in words is "nine trillion, four hundred eighty-six billion, seven hundred eighty-eight million, eight hundred fifty-seven thousand, seven hundred twenty-eight".