6585442560 has 360 divisors, whose sum is σ = 24811543680. Its totient is φ = 1663193088.

The previous prime is 6585442543. The next prime is 6585442601. The reversal of 6585442560 is 652445856.

6585442560 is a `hidden beast` number, since 6 + 5 + 85 + 4 + 4 + 2 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×6585442560² = 86736107422118707200, 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 39 ways as a sum of consecutive naturals, for example, 1968249 + ... + 1971591.

Almost surely, 2^6585442560 is an apocalyptic number.

6585442560 is a gapful number since it is divisible by the number (60) 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 6585442560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12405771840).

6585442560 is an abundant number, since it is smaller than the sum of its proper divisors (18226101120).

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

6585442560 is a wasteful number, since it uses less digits than its factorization.

6585442560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3395 (or 3372 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

The square root of 6585442560 is about 81150.7397378484. The cubic root of 6585442560 is about 1874.3973231037.

The spelling of 6585442560 in words is "six billion, five hundred eighty-five million, four hundred forty-two thousand, five hundred sixty".