7505068032 has 360 divisors, whose sum is σ = 27071308992. Its totient is φ = 1946419200.

The previous prime is 7505068031. The next prime is 7505068069. The reversal of 7505068032 is 2308605057.

7505068032 is a `hidden beast` number, since 75 + 0 + 506 + 80 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (7505068031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11353782 + ... + 11354442.

Almost surely, 2^7505068032 is an apocalyptic number.

7505068032 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 7505068032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13535654496).

7505068032 is an abundant number, since it is smaller than the sum of its proper divisors (19566240960).

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

7505068032 is a wasteful number, since it uses less digits than its factorization.

7505068032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 713 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 7505068032 is about 86631.7957334373. The cubic root of 7505068032 is about 1957.8746251873.

The spelling of 7505068032 in words is "seven billion, five hundred five million, sixty-eight thousand, thirty-two".