7442050560 has 480 divisors, whose sum is σ = 28943861760. Its totient is φ = 1597636608.

The previous prime is 7442050529. The next prime is 7442050579. The reversal of 7442050560 is 650502447.

It is a tau number, because it is divible by the number of its divisors (480).

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, 15536401 + ... + 15536879.

It is an arithmetic number, because the mean of its divisors is an integer number (60299712).

Almost surely, 2^7442050560 is an apocalyptic number.

7442050560 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 7442050560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14471930880).

7442050560 is an abundant number, since it is smaller than the sum of its proper divisors (21501811200).

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

7442050560 is a wasteful number, since it uses less digits than its factorization.

7442050560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 33.

The square root of 7442050560 is about 86267.3203478583. The cubic root of 7442050560 is about 1952.3793493671.

The spelling of 7442050560 in words is "seven billion, four hundred forty-two million, fifty thousand, five hundred sixty".