9942327600 has 480 divisors, whose sum is σ = 35968769280. Its totient is φ = 2332753920.

The previous prime is 9942327547. The next prime is 9942327653. The reversal of 9942327600 is 67232499.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (9942327547) and next prime (9942327653).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 43798687 + ... + 43798913.

It is an arithmetic number, because the mean of its divisors is an integer number (74934936).

Almost surely, 2^9942327600 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 9942327600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17984384640).

9942327600 is an abundant number, since it is smaller than the sum of its proper divisors (26026441680).

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

9942327600 is a wasteful number, since it uses less digits than its factorization.

9942327600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 42.

The square root of 9942327600 is about 99711.2210335427. The cubic root of 9942327600 is about 2150.2849883626.

The spelling of 9942327600 in words is "nine billion, nine hundred forty-two million, three hundred twenty-seven thousand, six hundred".