6439741504 has 63 divisors (see below), whose sum is σ = 14875587597. Its totient is φ = 2757963264.

The previous prime is 6439741489. The next prime is 6439741523. The reversal of 6439741504 is 4051479346.

The square root of 6439741504 is 80248.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 5340686400 + 1099055104 = 73080^2 + 33152^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4493172 + ... + 4494604.

Almost surely, 2^6439741504 is an apocalyptic number.

6439741504 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

6439741504 is the 80248-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6439741504

6439741504 is an abundant number, since it is smaller than the sum of its proper divisors (8435846093).

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

6439741504 is an frugal number, since it uses more digits than its factorization.

6439741504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2892 (or 1442 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 43.

The cubic root of 6439741504 is about 1860.4706004665.

The spelling of 6439741504 in words is "six billion, four hundred thirty-nine million, seven hundred forty-one thousand, five hundred four".