981746729170560 has 960 divisors, whose sum is σ = 3788936089361280. Its totient is φ = 241781256364032.

The previous prime is 981746729170433. The next prime is 981746729170577. The reversal of 981746729170560 is 65071927647189.

981746729170560 is a `hidden beast` number, since 9 + 8 + 1 + 7 + 46 + 7 + 2 + 9 + 17 + 0 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

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, 1002251589 + ... + 1003230651.

It is an arithmetic number, because the mean of its divisors is an integer number (3946808426418).

Almost surely, 2^{981746729170560} is an apocalyptic number.

981746729170560 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 981746729170560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1894468044680640).

981746729170560 is an abundant number, since it is smaller than the sum of its proper divisors (2807189360190720).

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

981746729170560 is a wasteful number, since it uses less digits than its factorization.

981746729170560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 979175 (or 979125 counting only the distinct ones).

The product of its (nonzero) digits is 320060160, while the sum is 72.

The spelling of 981746729170560 in words is "nine hundred eighty-one trillion, seven hundred forty-six billion, seven hundred twenty-nine million, one hundred seventy thousand, five hundred sixty".