7575828480 has 768 divisors, whose sum is σ = 30569011200. Its totient is φ = 1763573760.

The previous prime is 7575828443. The next prime is 7575828497. The reversal of 7575828480 is 848285757.

7575828480 is a `hidden beast` number, since 7 + 57 + 582 + 8 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×7575828480² (a number of 21 digits) contains 22 as substring.

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 142940134 + ... + 142940186.

It is an arithmetic number, because the mean of its divisors is an integer number (39803400).

Almost surely, 2^7575828480 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 7575828480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15284505600).

7575828480 is an abundant number, since it is smaller than the sum of its proper divisors (22993182720).

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

7575828480 is a wasteful number, since it uses less digits than its factorization.

7575828480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 5017600, while the sum is 54.

The square root of 7575828480 is about 87039.2352907584. The cubic root of 7575828480 is about 1964.0085669311.

The spelling of 7575828480 in words is "seven billion, five hundred seventy-five million, eight hundred twenty-eight thousand, four hundred eighty".