7441994664 has 512 divisors, whose sum is σ = 25082265600. Its totient is φ = 2022174720.

The previous prime is 7441994663. The next prime is 7441994671. The reversal of 7441994664 is 4664991447.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 7441994664.

It is not an unprimeable number, because it can be changed into a prime (7441994663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 69551299 + ... + 69551405.

It is an arithmetic number, because the mean of its divisors is an integer number (48988800).

Almost surely, 2^7441994664 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 7441994664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12541132800).

7441994664 is an abundant number, since it is smaller than the sum of its proper divisors (17640270936).

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

7441994664 is a wasteful number, since it uses less digits than its factorization.

7441994664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 220 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The square root of 7441994664 is about 86266.9963775255. The cubic root of 7441994664 is about 1952.3744613563.

The spelling of 7441994664 in words is "seven billion, four hundred forty-one million, nine hundred ninety-four thousand, six hundred sixty-four".