7506775872 has 112 divisors (see below), whose sum is σ = 22092716800. Its totient is φ = 2499517440.

The previous prime is 7506775853. The next prime is 7506775919. The reversal of 7506775872 is 2785776057.

7506775872 is a `hidden beast` number, since 7 + 50 + 6 + 7 + 7 + 587 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2125404 + ... + 2128932.

It is an arithmetic number, because the mean of its divisors is an integer number (197256400).

Almost surely, 2^7506775872 is an apocalyptic number.

7506775872 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 7506775872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11046358400).

7506775872 is an abundant number, since it is smaller than the sum of its proper divisors (14585940928).

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

7506775872 is a wasteful number, since it uses less digits than its factorization.

7506775872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4781 (or 4765 counting only the distinct ones).

The product of its (nonzero) digits is 5762400, while the sum is 54.

The square root of 7506775872 is about 86641.6520618115. The cubic root of 7506775872 is about 1958.0231240855.

The spelling of 7506775872 in words is "seven billion, five hundred six million, seven hundred seventy-five thousand, eight hundred seventy-two".