7575145920 has 336 divisors, whose sum is σ = 27480511968. Its totient is φ = 1985679360.

The previous prime is 7575145843. The next prime is 7575145939. The reversal of 7575145920 is 295415757.

7575145920 is a `hidden beast` number, since 7 + 5 + 7 + 51 + 4 + 592 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4742562 + ... + 4744158.

It is an arithmetic number, because the mean of its divisors is an integer number (81787238).

Almost surely, 2^7575145920 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 7575145920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13740255984).

7575145920 is an abundant number, since it is smaller than the sum of its proper divisors (19905366048).

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

7575145920 is a wasteful number, since it uses less digits than its factorization.

7575145920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1690 (or 1668 counting only the distinct ones).

The product of its (nonzero) digits is 441000, while the sum is 45.

The square root of 7575145920 is about 87035.3142121059. The cubic root of 7575145920 is about 1963.9495813494.

The spelling of 7575145920 in words is "seven billion, five hundred seventy-five million, one hundred forty-five thousand, nine hundred twenty".