6444587952 has 120 divisors (see below), whose sum is σ = 20155616208. Its totient is φ = 1905254400.

The previous prime is 6444587921. The next prime is 6444587983. The reversal of 6444587952 is 2597854446.

6444587952 is a `hidden beast` number, since 6 + 4 + 4 + 4 + 587 + 9 + 52 = 666.

It is an interprime number because it is at equal distance from previous prime (6444587921) and next prime (6444587983).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15328 + ... + 114560.

Almost surely, 2^6444587952 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 6444587952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10077808104).

6444587952 is an abundant number, since it is smaller than the sum of its proper divisors (13711028256).

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

6444587952 is a wasteful number, since it uses less digits than its factorization.

6444587952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99299 (or 99290 counting only the distinct ones).

The product of its digits is 9676800, while the sum is 54.

The square root of 6444587952 is about 80278.1910110087. The cubic root of 6444587952 is about 1860.9372037210.

The spelling of 6444587952 in words is "six billion, four hundred forty-four million, five hundred eighty-seven thousand, nine hundred fifty-two".