7942233600 has 960 divisors, whose sum is σ = 34503744000. Its totient is φ = 1788272640.

The previous prime is 7942233583. The next prime is 7942233701. The reversal of 7942233600 is 63322497.

It is a happy number.

7942233600 is a `hidden beast` number, since 7 + 9 + 42 + 2 + 3 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 95 ways as a sum of consecutive naturals, for example, 118540767 + ... + 118540833.

It is an arithmetic number, because the mean of its divisors is an integer number (35941400).

Almost surely, 2^7942233600 is an apocalyptic number.

7942233600 is a gapful number since it is divisible by the number (70) 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 7942233600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17251872000).

7942233600 is an abundant number, since it is smaller than the sum of its proper divisors (26561510400).

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

7942233600 is an equidigital number, since it uses as much as digits as its factorization.

7942233600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 7942233600 is about 89119.2100503590. The cubic root of 7942233600 is about 1995.1744999717.

The spelling of 7942233600 in words is "seven billion, nine hundred forty-two million, two hundred thirty-three thousand, six hundred".