575527680 has 720 divisors, whose sum is σ = 2576126784. Its totient is φ = 119439360.

The previous prime is 575527669. The next prime is 575527703. The reversal of 575527680 is 86725575.

575527680 is a `hidden beast` number, since 575 + 5 + 2 + 76 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×575527680² = 662464220892364800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9434850 + ... + 9434910.

Almost surely, 2^575527680 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 575527680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1288063392).

575527680 is an abundant number, since it is smaller than the sum of its proper divisors (2000599104).

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

575527680 is a wasteful number, since it uses less digits than its factorization.

575527680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 588000, while the sum is 45.

The square root of 575527680 is about 23990.1579819725. The cubic root of 575527680 is about 831.8060445323.

The spelling of 575527680 in words is "five hundred seventy-five million, five hundred twenty-seven thousand, six hundred eighty".