7507045728 has 288 divisors, whose sum is σ = 26554522176. Its totient is φ = 1958805504.

The previous prime is 7507045669. The next prime is 7507045747. The reversal of 7507045728 is 8275407057.

7507045728 is a `hidden beast` number, since 7 + 5 + 0 + 70 + 4 + 572 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 2540700 + ... + 2543652.

It is an arithmetic number, because the mean of its divisors is an integer number (92203202).

Almost surely, 2^7507045728 is an apocalyptic number.

7507045728 is a gapful number since it is divisible by the number (78) 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 7507045728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13277261088).

7507045728 is an abundant number, since it is smaller than the sum of its proper divisors (19047476448).

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

7507045728 is a wasteful number, since it uses less digits than its factorization.

7507045728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3086 (or 3075 counting only the distinct ones).

The product of its (nonzero) digits is 548800, while the sum is 45.

The square root of 7507045728 is about 86643.2093588413. The cubic root of 7507045728 is about 1958.0465863532.

The spelling of 7507045728 in words is "seven billion, five hundred seven million, forty-five thousand, seven hundred twenty-eight".