7042576400 has 120 divisors (see below), whose sum is σ = 18254025864. Its totient is φ = 2601164800.

The previous prime is 7042576393. The next prime is 7042576403. The reversal of 7042576400 is 46752407.

It can be written as a sum of positive squares in 12 ways, for example, as 1089528064 + 5953048336 = 33008^2 + 77156^2 .

It is not an unprimeable number, because it can be changed into a prime (7042576403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 350630 + ... + 370170.

Almost surely, 2^7042576400 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 7042576400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9127012932).

7042576400 is an abundant number, since it is smaller than the sum of its proper divisors (11211449464).

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

7042576400 is a wasteful number, since it uses less digits than its factorization.

7042576400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19629 (or 19618 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 35.

The square root of 7042576400 is about 83920.0595805318. The cubic root of 7042576400 is about 1916.8017138199.

The spelling of 7042576400 in words is "seven billion, forty-two million, five hundred seventy-six thousand, four hundred".