7535628864 has 63 divisors (see below), whose sum is σ = 21605492857. Its totient is φ = 2511181824.

The previous prime is 7535628829. The next prime is 7535628899. The reversal of 7535628864 is 4688265357.

The square root of 7535628864 is 86808.

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

7535628864 is a `hidden beast` number, since 7 + 5 + 3 + 5 + 628 + 8 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (7535628829) and next prime (7535628899).

It can be written as a sum of positive squares in only one way, i.e., 37454400 + 7498174464 = 6120^2 + 86592^2 .

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 7535628864.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2081584 + ... + 2085200.

Almost surely, 2^7535628864 is an apocalyptic number.

7535628864 is the 86808-th square number.

It is an amenable number.

7535628864 is an abundant number, since it is smaller than the sum of its proper divisors (14069863993).

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

7535628864 is an frugal number, since it uses more digits than its factorization.

7535628864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7252 (or 3622 counting only the distinct ones).

The product of its digits is 9676800, while the sum is 54.

The cubic root of 7535628864 is about 1960.5285316274.

The spelling of 7535628864 in words is "seven billion, five hundred thirty-five million, six hundred twenty-eight thousand, eight hundred sixty-four".