6744008520 has 96 divisors (see below), whose sum is σ = 21980532600. Its totient is φ = 1793273856.

The previous prime is 6744008507. The next prime is 6744008543. The reversal of 6744008520 is 258004476.

It can be written as a sum of positive squares in 4 ways, for example, as 6540603876 + 203404644 = 80874^2 + 14262^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 100546 + ... + 153614.

Almost surely, 2^6744008520 is an apocalyptic number.

6744008520 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 6744008520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10990266300).

6744008520 is an abundant number, since it is smaller than the sum of its proper divisors (15236524080).

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

6744008520 is a wasteful number, since it uses less digits than its factorization.

6744008520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53439 (or 53432 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 6744008520 is about 82121.9125447039. The cubic root of 6744008520 is about 1889.3222395551.

The spelling of 6744008520 in words is "six billion, seven hundred forty-four million, eight thousand, five hundred twenty".