7535530088464 has 405 divisors, whose sum is σ = 18526598204247. Its totient is φ = 2959955841024.

The previous prime is 7535530088461. The next prime is 7535530088477. The reversal of 7535530088464 is 4648800355357.

It is a happy number.

The square root of 7535530088464 is 2745092.

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 951584642064 + 6583945446400 = 975492^2 + 2565920^2 .

It is a junction number, because it is equal to n+sod(n) for n = 7535530088399 and 7535530088408.

It is not an unprimeable number, because it can be changed into a prime (7535530088461) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 95386456777 + ... + 95386456855.

Almost surely, 2^{7535530088464} is an apocalyptic number.

7535530088464 is the 2745092-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7535530088464

7535530088464 is an abundant number, since it is smaller than the sum of its proper divisors (10991068115783).

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

7535530088464 is an equidigital number, since it uses as much as digits as its factorization.

7535530088464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 48384000, while the sum is 58.

The spelling of 7535530088464 in words is "seven trillion, five hundred thirty-five billion, five hundred thirty million, eighty-eight thousand, four hundred sixty-four".