6742737120 has 576 divisors, whose sum is σ = 25937936640. Its totient is φ = 1466744832.

The previous prime is 6742737097. The next prime is 6742737139. The reversal of 6742737120 is 217372476.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 59670184 + ... + 59670296.

It is an arithmetic number, because the mean of its divisors is an integer number (45031140).

Almost surely, 2^6742737120 is an apocalyptic number.

6742737120 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 6742737120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12968968320).

6742737120 is an abundant number, since it is smaller than the sum of its proper divisors (19195199520).

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

6742737120 is a wasteful number, since it uses less digits than its factorization.

6742737120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 98784, while the sum is 39.

The square root of 6742737120 is about 82114.1712495474. The cubic root of 6742737120 is about 1889.2035052616.

The spelling of 6742737120 in words is "six billion, seven hundred forty-two million, seven hundred thirty-seven thousand, one hundred twenty".