7503668352 has 96 divisors (see below), whose sum is σ = 22862799180. Its totient is φ = 2354085888.

The previous prime is 7503668317. The next prime is 7503668353. The reversal of 7503668352 is 2538663057.

7503668352 is a `hidden beast` number, since 7 + 503 + 66 + 83 + 5 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7214124096 + 289544256 = 84936^2 + 17016^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 7503668298 and 7503668307.

It is not an unprimeable number, because it can be changed into a prime (7503668353) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 171993 + ... + 211160.

Almost surely, 2^7503668352 is an apocalyptic number.

7503668352 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

7503668352 is an abundant number, since it is smaller than the sum of its proper divisors (15359130828).

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

7503668352 is a wasteful number, since it uses less digits than its factorization.

7503668352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383190 (or 383175 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The square root of 7503668352 is about 86623.7170294602. The cubic root of 7503668352 is about 1957.7529044016.

The spelling of 7503668352 in words is "seven billion, five hundred three million, six hundred sixty-eight thousand, three hundred fifty-two".