9642045600 has 648 divisors, whose sum is σ = 38746457568. Its totient is φ = 2323468800.

The previous prime is 9642045547. The next prime is 9642045619. The reversal of 9642045600 is 65402469.

9642045600 is a `hidden beast` number, since 9 + 6 + 4 + 2 + 0 + 45 + 600 = 666.

9642045600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (648).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 57736717 + ... + 57736883.

It is an arithmetic number, because the mean of its divisors is an integer number (59793916).

Almost surely, 2^9642045600 is an apocalyptic number.

9642045600 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 9642045600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19373228784).

9642045600 is an abundant number, since it is smaller than the sum of its proper divisors (29104411968).

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

9642045600 is a wasteful number, since it uses less digits than its factorization.

9642045600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 9642045600 is about 98193.9183452825. The cubic root of 9642045600 is about 2128.4154054584.

The spelling of 9642045600 in words is "nine billion, six hundred forty-two million, forty-five thousand, six hundred".