7725175536400 has 135 divisors (see below), whose sum is σ = 21590982458751. Its totient is φ = 2648498200320.

The previous prime is 7725175536389. The next prime is 7725175536437. The reversal of 7725175536400 is 46355715277.

The square root of 7725175536400 is 2779420.

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 1859634051856 + 5865541484544 = 1363684^2 + 2421888^2 .

It is a Duffinian number.

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, 389108874 + ... + 389128726.

Almost surely, 2^{7725175536400} is an apocalyptic number.

7725175536400 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

7725175536400 is the 2779420-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7725175536400

7725175536400 is an abundant number, since it is smaller than the sum of its proper divisors (13865806922351).

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

7725175536400 is an frugal number, since it uses more digits than its factorization.

7725175536400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39738 (or 19867 counting only the distinct ones).

The product of its (nonzero) digits is 6174000, while the sum is 52.

The spelling of 7725175536400 in words is "seven trillion, seven hundred twenty-five billion, one hundred seventy-five million, five hundred thirty-six thousand, four hundred".