9742205975580 has 384 divisors, whose sum is σ = 34637748768000. Its totient is φ = 2251978702848.

The previous prime is 9742205975507. The next prime is 9742205975599. The reversal of 9742205975580 is 855795022479.

9742205975580 is a `hidden beast` number, since 9 + 7 + 4 + 2 + 20 + 59 + 7 + 558 + 0 = 666.

9742205975580 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 53492754 + ... + 53674566.

It is an arithmetic number, because the mean of its divisors is an integer number (90202470750).

Almost surely, 2^{9742205975580} is an apocalyptic number.

9742205975580 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 9742205975580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17318874384000).

9742205975580 is an abundant number, since it is smaller than the sum of its proper divisors (24895542792420).

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

9742205975580 is a wasteful number, since it uses less digits than its factorization.

9742205975580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182310 (or 182302 counting only the distinct ones).

The product of its (nonzero) digits is 63504000, while the sum is 63.

The spelling of 9742205975580 in words is "nine trillion, seven hundred forty-two billion, two hundred five million, nine hundred seventy-five thousand, five hundred eighty".