7502975352 has 128 divisors (see below), whose sum is σ = 21606984000. Its totient is φ = 2409523200.

The previous prime is 7502975327. The next prime is 7502975371. The reversal of 7502975352 is 2535792057.

7502975352 is a `hidden beast` number, since 7 + 5 + 0 + 297 + 5 + 352 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 7502975298 and 7502975307.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3763668 + ... + 3765660.

Almost surely, 2^7502975352 is an apocalyptic number.

7502975352 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7502975352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10803492000).

7502975352 is an abundant number, since it is smaller than the sum of its proper divisors (14104008648).

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

7502975352 is a wasteful number, since it uses less digits than its factorization.

7502975352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2638 (or 2628 counting only the distinct ones).

The product of its (nonzero) digits is 661500, while the sum is 45.

The square root of 7502975352 is about 86619.7168778564. The cubic root of 7502975352 is about 1957.6926332352.

The spelling of 7502975352 in words is "seven billion, five hundred two million, nine hundred seventy-five thousand, three hundred fifty-two".