7513422400 has 189 divisors, whose sum is σ = 20424884347. Its totient is φ = 2718284800.

The previous prime is 7513422383. The next prime is 7513422409. The reversal of 7513422400 is 42243157.

The square root of 7513422400 is 86680.

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 1732557376 + 5780865024 = 41624^2 + 76032^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7513422409) 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 26 ways as a sum of consecutive naturals, for example, 38139102 + ... + 38139298.

Almost surely, 2^7513422400 is an apocalyptic number.

7513422400 is the 86680-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7513422400

7513422400 is an abundant number, since it is smaller than the sum of its proper divisors (12911461947).

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

7513422400 is a wasteful number, since it uses less digits than its factorization.

7513422400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

The cubic root of 7513422400 is about 1958.6008339985.

Adding to 7513422400 its reverse (42243157), we get a palindrome (7555665557).

The spelling of 7513422400 in words is "seven billion, five hundred thirteen million, four hundred twenty-two thousand, four hundred".