7505563008 has 128 divisors (see below), whose sum is σ = 21063571200. Its totient is φ = 2361415680.

The previous prime is 7505563007. The next prime is 7505563031. The reversal of 7505563008 is 8003655057.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7505563007) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2135973 + ... + 2139483.

It is an arithmetic number, because the mean of its divisors is an integer number (164559150).

Almost surely, 2^7505563008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7505563008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10531785600).

7505563008 is an abundant number, since it is smaller than the sum of its proper divisors (13558008192).

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

7505563008 is a wasteful number, since it uses less digits than its factorization.

7505563008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3840 (or 3828 counting only the distinct ones).

The product of its (nonzero) digits is 126000, while the sum is 39.

The square root of 7505563008 is about 86634.6524665506. The cubic root of 7505563008 is about 1957.9176663093.

The spelling of 7505563008 in words is "seven billion, five hundred five million, five hundred sixty-three thousand, eight".