9705542000 has 640 divisors, whose sum is σ = 32089374720. Its totient is φ = 2747520000.

The previous prime is 9705541991. The next prime is 9705542069. The reversal of 9705542000 is 2455079.

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, 90705947 + ... + 90706053.

It is an arithmetic number, because the mean of its divisors is an integer number (50139648).

Almost surely, 2^9705542000 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 9705542000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16044687360).

9705542000 is an abundant number, since it is smaller than the sum of its proper divisors (22383832720).

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

9705542000 is a wasteful number, since it uses less digits than its factorization.

9705542000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 32.

The square root of 9705542000 is about 98516.7092426457. The cubic root of 9705542000 is about 2133.0773184530.

Adding to 9705542000 its reverse (2455079), we get a palindrome (9707997079).

The spelling of 9705542000 in words is "nine billion, seven hundred five million, five hundred forty-two thousand".