6580604160 has 576 divisors, whose sum is σ = 25575836160. Its totient is φ = 1592524800.

The previous prime is 6580604141. The next prime is 6580604207. The reversal of 6580604160 is 614060856.

6580604160 is a `hidden beast` number, since 6 + 580 + 60 + 4 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×6580604160² = 86608702221218611200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 43580085 + ... + 43580235.

Almost surely, 2^6580604160 is an apocalyptic number.

6580604160 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 6580604160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12787918080).

6580604160 is an abundant number, since it is smaller than the sum of its proper divisors (18995232000).

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

6580604160 is a wasteful number, since it uses less digits than its factorization.

6580604160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 6580604160 is about 81120.9230716712. The cubic root of 6580604160 is about 1873.9381635820.

The spelling of 6580604160 in words is "six billion, five hundred eighty million, six hundred four thousand, one hundred sixty".