6740311600 has 120 divisors (see below), whose sum is σ = 17890283520. Its totient is φ = 2419872000.

The previous prime is 6740311583. The next prime is 6740311601. The reversal of 6740311600 is 61130476.

It is not an unprimeable number, because it can be changed into a prime (6740311601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 337905 + ... + 357295.

It is an arithmetic number, because the mean of its divisors is an integer number (149085696).

Almost surely, 2^6740311600 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 6740311600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8945141760).

6740311600 is an abundant number, since it is smaller than the sum of its proper divisors (11149971920).

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

6740311600 is a wasteful number, since it uses less digits than its factorization.

6740311600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19499 (or 19488 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 6740311600 is about 82099.4007286290. The cubic root of 6740311600 is about 1888.9769478875.

It can be divided in two parts, 67403 and 11600, that added together give a triangular number (79003 = T₃₉₇).

The spelling of 6740311600 in words is "six billion, seven hundred forty million, three hundred eleven thousand, six hundred".