7441385760 has 120 divisors (see below), whose sum is σ = 26261936316. Its totient is φ = 1984366080.

The previous prime is 7441385759. The next prime is 7441385767. The reversal of 7441385760 is 675831447.

7441385760 is a `hidden beast` number, since 7 + 4 + 41 + 38 + 576 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6957561744 + 483824016 = 83412^2 + 21996^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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 (7441385767) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 274131 + ... + 300050.

Almost surely, 2^7441385760 is an apocalyptic number.

It is an amenable number.

7441385760 is an abundant number, since it is smaller than the sum of its proper divisors (18820550556).

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

7441385760 is a wasteful number, since it uses less digits than its factorization.

7441385760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574208 (or 574191 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 7441385760 is about 86263.4671225311. The cubic root of 7441385760 is about 1952.3212121448.

The spelling of 7441385760 in words is "seven billion, four hundred forty-one million, three hundred eighty-five thousand, seven hundred sixty".