6580464000 has 512 divisors, whose sum is σ = 24226974720. Its totient is φ = 1579776000.

The previous prime is 6580463987. The next prime is 6580464001. The reversal of 6580464000 is 4640856.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6580464001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 63887949 + ... + 63888051.

It is an arithmetic number, because the mean of its divisors is an integer number (47318310).

Almost surely, 2^6580464000 is an apocalyptic number.

6580464000 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 6580464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12113487360).

6580464000 is an abundant number, since it is smaller than the sum of its proper divisors (17646510720).

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

6580464000 is a wasteful number, since it uses less digits than its factorization.

6580464000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 6580464000 is about 81120.0591715761. The cubic root of 6580464000 is about 1873.9248591786.

The spelling of 6580464000 in words is "six billion, five hundred eighty million, four hundred sixty-four thousand".