9642803040 has 288 divisors, whose sum is σ = 36109644480. Its totient is φ = 2328588288.

The previous prime is 9642803033. The next prime is 9642803059. The reversal of 9642803040 is 403082469.

It is a happy number.

9642803040 is a `hidden beast` number, since 9 + 642 + 8 + 0 + 3 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 9642802986 and 9642803004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 987301 + ... + 997019.

It is an arithmetic number, because the mean of its divisors is an integer number (125380710).

Almost surely, 2^9642803040 is an apocalyptic number.

9642803040 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 9642803040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18054822240).

9642803040 is an abundant number, since it is smaller than the sum of its proper divisors (26466841440).

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

9642803040 is a wasteful number, since it uses less digits than its factorization.

9642803040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9806 (or 9795 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 9642803040 is about 98197.7751275455. The cubic root of 9642803040 is about 2128.4711372267.

The spelling of 9642803040 in words is "nine billion, six hundred forty-two million, eight hundred three thousand, forty".