7635264400 has 135 divisors (see below), whose sum is σ = 19562355289. Its totient is φ = 2863267840.

The previous prime is 7635264397. The next prime is 7635264431. The reversal of 7635264400 is 44625367.

The square root of 7635264400 is 87380.

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

It can be written as a sum of positive squares in 13 ways, for example, as 6290064 + 7628974336 = 2508^2 + 87344^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 7635264400.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 29709072 + ... + 29709328.

Almost surely, 2^7635264400 is an apocalyptic number.

7635264400 is the 87380-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7635264400

7635264400 is an abundant number, since it is smaller than the sum of its proper divisors (11927090889).

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

7635264400 is a wasteful number, since it uses less digits than its factorization.

7635264400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 37.

The cubic root of 7635264400 is about 1969.1313820314.

Adding to 7635264400 its reverse (44625367), we get a palindrome (7679889767).

The spelling of 7635264400 in words is "seven billion, six hundred thirty-five million, two hundred sixty-four thousand, four hundred".