9642348000 has 768 divisors, whose sum is σ = 38242713600. Its totient is φ = 2351462400.

The previous prime is 9642347999. The next prime is 9642348043. The reversal of 9642348000 is 8432469.

It is a happy number.

9642348000 is a `hidden beast` number, since 9 + 642 + 3 + 4 + 8 + 0 + 0 + 0 = 666.

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 polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 75923937 + ... + 75924063.

It is an arithmetic number, because the mean of its divisors is an integer number (49795200).

Almost surely, 2^9642348000 is an apocalyptic number.

9642348000 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 9642348000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19121356800).

9642348000 is an abundant number, since it is smaller than the sum of its proper divisors (28600365600).

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

9642348000 is a wasteful number, since it uses less digits than its factorization.

9642348000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 193 counting only the distinct ones).

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

The square root of 9642348000 is about 98195.4581434396. The cubic root of 9642348000 is about 2128.4376561342.

The spelling of 9642348000 in words is "nine billion, six hundred forty-two million, three hundred forty-eight thousand".