6744516240 has 640 divisors, whose sum is σ = 27490811904. Its totient is φ = 1327104000.

The previous prime is 6744516227. The next prime is 6744516257. The reversal of 6744516240 is 426154476.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 34945584 + ... + 34945776.

Almost surely, 2^6744516240 is an apocalyptic number.

6744516240 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 6744516240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13745405952).

6744516240 is an abundant number, since it is smaller than the sum of its proper divisors (20746295664).

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

6744516240 is a wasteful number, since it uses less digits than its factorization.

6744516240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The square root of 6744516240 is about 82125.0037442922. The cubic root of 6744516240 is about 1889.3696506566.

The spelling of 6744516240 in words is "six billion, seven hundred forty-four million, five hundred sixteen thousand, two hundred forty".