7442167824 has 405 divisors, whose sum is σ = 26571543453. Its totient is φ = 1937924352.

The previous prime is 7442167813. The next prime is 7442167829. The reversal of 7442167824 is 4287612447.

The square root of 7442167824 is 86268.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1100912400 + 6341255424 = 33180^2 + 79632^2 .

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 7442167824.

It is not an unprimeable number, because it can be changed into a prime (7442167829) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 94204617 + ... + 94204695.

Almost surely, 2^7442167824 is an apocalyptic number.

7442167824 is the 86268-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7442167824

7442167824 is an abundant number, since it is smaller than the sum of its proper divisors (19129375629).

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

7442167824 is a wasteful number, since it uses less digits than its factorization.

7442167824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 104 counting only the distinct ones).

The product of its digits is 602112, while the sum is 45.

The cubic root of 7442167824 is about 1952.3896038262.

The spelling of 7442167824 in words is "seven billion, four hundred forty-two million, one hundred sixty-seven thousand, eight hundred twenty-four".