9642849120 has 240 divisors, whose sum is σ = 34285936608. Its totient is φ = 2552186880.

The previous prime is 9642849113. The next prime is 9642849127. The reversal of 9642849120 is 219482469.

It is an interprime number because it is at equal distance from previous prime (9642849113) and next prime (9642849127).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9642849127) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1772805 + ... + 1778235.

Almost surely, 2^9642849120 is an apocalyptic number.

9642849120 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 9642849120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17142968304).

9642849120 is an abundant number, since it is smaller than the sum of its proper divisors (24643087488).

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

9642849120 is a wasteful number, since it uses less digits than its factorization.

9642849120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5595 (or 5578 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 9642849120 is about 98198.0097557990. The cubic root of 9642849120 is about 2128.4745276583.

The spelling of 9642849120 in words is "nine billion, six hundred forty-two million, eight hundred forty-nine thousand, one hundred twenty".