9854742400 has 96 divisors (see below), whose sum is σ = 24424552800. Its totient is φ = 3928903680.

The previous prime is 9854742397. The next prime is 9854742413. The reversal of 9854742400 is 42474589.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 996681 + ... + 1006519.

It is an arithmetic number, because the mean of its divisors is an integer number (254422425).

Almost surely, 2^9854742400 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 9854742400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12212276400).

9854742400 is an abundant number, since it is smaller than the sum of its proper divisors (14569810400).

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

9854742400 is a wasteful number, since it uses less digits than its factorization.

9854742400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10176 (or 10159 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 43.

The square root of 9854742400 is about 99271.0551973736. The cubic root of 9854742400 is about 2143.9521690525.

The spelling of 9854742400 in words is "nine billion, eight hundred fifty-four million, seven hundred forty-two thousand, four hundred".