6582142944 has 576 divisors, whose sum is σ = 23115456000. Its totient is φ = 1822943232.

The previous prime is 6582142901. The next prime is 6582142949. The reversal of 6582142944 is 4492412856.

It is a happy number.

6582142944 is a `hidden beast` number, since 6 + 582 + 1 + 4 + 29 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 6582142944.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6582142949) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 44175382 + ... + 44175530.

It is an arithmetic number, because the mean of its divisors is an integer number (40131000).

Almost surely, 2^6582142944 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 6582142944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11557728000).

6582142944 is an abundant number, since it is smaller than the sum of its proper divisors (16533313056).

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

6582142944 is a wasteful number, since it uses less digits than its factorization.

6582142944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 209 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 6582142944 is about 81130.4070247401. The cubic root of 6582142944 is about 1874.0842171084.

The spelling of 6582142944 in words is "six billion, five hundred eighty-two million, one hundred forty-two thousand, nine hundred forty-four".