5585768640 has 448 divisors, whose sum is σ = 20556443520. Its totient is φ = 1426636800.

The previous prime is 5585768621. The next prime is 5585768641. The reversal of 5585768640 is 468675855.

5585768640 is a `hidden beast` number, since 5 + 5 + 8 + 576 + 8 + 64 + 0 = 666.

It is a super-2 number, since 2×5585768640² = 62401622599214899200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (5585768641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32287594 + ... + 32287766.

Almost surely, 2^5585768640 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 5585768640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10278221760).

5585768640 is an abundant number, since it is smaller than the sum of its proper divisors (14970674880).

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

5585768640 is a wasteful number, since it uses less digits than its factorization.

5585768640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 8064000, while the sum is 54.

The square root of 5585768640 is about 74737.9999732399. Note that the first 4 decimals coincide. The cubic root of 5585768640 is about 1774.3024319713.

The spelling of 5585768640 in words is "five billion, five hundred eighty-five million, seven hundred sixty-eight thousand, six hundred forty".