9742885850880 has 1296 divisors, whose sum is σ = 42302889720000. Its totient is φ = 2052063756288.

The previous prime is 9742885850837. The next prime is 9742885850891. The reversal of 9742885850880 is 880585882479.

9742885850880 is a `hidden beast` number, since 97 + 4 + 28 + 8 + 5 + 8 + 508 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 9742885850799 and 9742885850808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7800548496 + ... + 7800549744.

Almost surely, 2^{9742885850880} is an apocalyptic number.

9742885850880 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 9742885850880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21151444860000).

9742885850880 is an abundant number, since it is smaller than the sum of its proper divisors (32560003869120).

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

9742885850880 is a wasteful number, since it uses less digits than its factorization.

9742885850880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2366 (or 2342 counting only the distinct ones).

The product of its (nonzero) digits is 412876800, while the sum is 72.

The spelling of 9742885850880 in words is "nine trillion, seven hundred forty-two billion, eight hundred eighty-five million, eight hundred fifty thousand, eight hundred eighty".