7042566400 has 81 divisors (see below), whose sum is σ = 17448085291. Its totient is φ = 2814341120.

The previous prime is 7042566361. The next prime is 7042566403. The reversal of 7042566400 is 46652407.

The square root of 7042566400 is 83920.

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

It can be written as a sum of positive squares in 4 ways, for example, as 754710784 + 6287855616 = 27472^2 + 79296^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7042566403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6713076 + ... + 6714124.

Almost surely, 2^7042566400 is an apocalyptic number.

7042566400 is the 83920-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7042566400

7042566400 is an abundant number, since it is smaller than the sum of its proper divisors (10405518891).

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

7042566400 is an frugal number, since it uses more digits than its factorization.

7042566400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2124 (or 1056 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 34.

The cubic root of 7042566400 is about 1916.8008065749.

The spelling of 7042566400 in words is "seven billion, forty-two million, five hundred sixty-six thousand, four hundred".