7444447560 has 480 divisors, whose sum is σ = 29146997880. Its totient is φ = 1697034240.

The previous prime is 7444447499. The next prime is 7444447567. The reversal of 7444447560 is 657444447.

It is a happy number.

7444447560 is a `hidden beast` number, since 7 + 4 + 4 + 44 + 47 + 560 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5052650724 + 2391796836 = 71082^2 + 48906^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (7444447567) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 6664122 + ... + 6665238.

Almost surely, 2^7444447560 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 7444447560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14573498940).

7444447560 is an abundant number, since it is smaller than the sum of its proper divisors (21702550320).

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

7444447560 is a wasteful number, since it uses less digits than its factorization.

7444447560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1179 (or 1155 counting only the distinct ones).

The product of its (nonzero) digits is 1505280, while the sum is 45.

The square root of 7444447560 is about 86281.2120916251. The cubic root of 7444447560 is about 1952.5889399412.

The spelling of 7444447560 in words is "seven billion, four hundred forty-four million, four hundred forty-seven thousand, five hundred sixty".