7442468800 has 336 divisors, whose sum is σ = 21080650752. Its totient is φ = 2564812800.

The previous prime is 7442468791. The next prime is 7442468807. The reversal of 7442468800 is 88642447.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7442468807) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22484635 + ... + 22484965.

It is an arithmetic number, because the mean of its divisors is an integer number (62740032).

Almost surely, 2^7442468800 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 7442468800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10540325376).

7442468800 is an abundant number, since it is smaller than the sum of its proper divisors (13638181952).

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

7442468800 is a wasteful number, since it uses less digits than its factorization.

7442468800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 43.

The square root of 7442468800 is about 86269.7444067154. The cubic root of 7442468800 is about 1952.4159229716.

The spelling of 7442468800 in words is "seven billion, four hundred forty-two million, four hundred sixty-eight thousand, eight hundred".