6582625420 has 192 divisors, whose sum is σ = 17313730560. Its totient is φ = 2051002368.

The previous prime is 6582625393. The next prime is 6582625421. The reversal of 6582625420 is 245262856.

It is not an unprimeable number, because it can be changed into a prime (6582625421) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9284026 + ... + 9284734.

It is an arithmetic number, because the mean of its divisors is an integer number (90175680).

Almost surely, 2^6582625420 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 6582625420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8656865280).

6582625420 is an abundant number, since it is smaller than the sum of its proper divisors (10731105140).

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

6582625420 is a wasteful number, since it uses less digits than its factorization.

6582625420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 872 (or 870 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 40.

The square root of 6582625420 is about 81133.3804300055. The cubic root of 6582625420 is about 1874.1300065811.

The spelling of 6582625420 in words is "six billion, five hundred eighty-two million, six hundred twenty-five thousand, four hundred twenty".