9702673881600 has 960 divisors, whose sum is σ = 38723917224960. Its totient is φ = 2092046745600.

The previous prime is 9702673881583. The next prime is 9702673881601. The reversal of 9702673881600 is 61883762079.

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 (57).

It is not an unprimeable number, because it can be changed into a prime (9702673881601) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1230831259 + ... + 1230839141.

It is an arithmetic number, because the mean of its divisors is an integer number (40337413776).

Almost surely, 2^{9702673881600} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9702673881600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19361958612480).

9702673881600 is an abundant number, since it is smaller than the sum of its proper divisors (29021243343360).

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

9702673881600 is a wasteful number, since it uses less digits than its factorization.

9702673881600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8181 (or 8160 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 57.

The spelling of 9702673881600 in words is "nine trillion, seven hundred two billion, six hundred seventy-three million, eight hundred eighty-one thousand, six hundred".