7540252386304 has 297 divisors, whose sum is σ = 17223034133851. Its totient is φ = 3296899809280.

The previous prime is 7540252386287. The next prime is 7540252386343. The reversal of 7540252386304 is 4036832520457.

The square root of 7540252386304 is 2745952.

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 1743329403904 + 5796922982400 = 1320352^2 + 2407680^2 .

It is a super-3 number, since 3×7540252386304³ (a number of 40 digits) contains 333 as substring.

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, 28030677882 + ... + 28030678150.

Almost surely, 2^{7540252386304} is an apocalyptic number.

7540252386304 is the 2745952-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7540252386304

7540252386304 is an abundant number, since it is smaller than the sum of its proper divisors (9682781747547).

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

7540252386304 is an equidigital number, since it uses as much as digits as its factorization.

7540252386304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 49.

Multiplying 7540252386304 by its sum of digits (49), we get a square (369472366928896 = 19221664²).

The spelling of 7540252386304 in words is "seven trillion, five hundred forty billion, two hundred fifty-two million, three hundred eighty-six thousand, three hundred four".