9741664558080 has 4928 divisors, whose sum is σ = 47631301724160. Its totient is φ = 1854081073152.

The previous prime is 9741664558009. The next prime is 9741664558091. The reversal of 9741664558080 is 808554661479.

9741664558080 is a `hidden beast` number, since 9 + 7 + 4 + 1 + 6 + 6 + 45 + 580 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 9741664557999 and 9741664558017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 226550338539 + ... + 226550338581.

It is an arithmetic number, because the mean of its divisors is an integer number (9665442720).

Almost surely, 2^{9741664558080} is an apocalyptic number.

9741664558080 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 9741664558080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23815650862080).

9741664558080 is an abundant number, since it is smaller than the sum of its proper divisors (37889637166080).

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

9741664558080 is a wasteful number, since it uses less digits than its factorization.

9741664558080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 63.

The spelling of 9741664558080 in words is "nine trillion, seven hundred forty-one billion, six hundred sixty-four million, five hundred fifty-eight thousand, eighty".