6741471240 has 512 divisors, whose sum is σ = 26497152000. Its totient is φ = 1511654400.

The previous prime is 6741471223. The next prime is 6741471271. The reversal of 6741471240 is 421741476.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 6741471195 and 6741471204.

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, 61848306 + ... + 61848414.

It is an arithmetic number, because the mean of its divisors is an integer number (51752250).

Almost surely, 2^6741471240 is an apocalyptic number.

6741471240 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 6741471240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13248576000).

6741471240 is an abundant number, since it is smaller than the sum of its proper divisors (19755680760).

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

6741471240 is a wasteful number, since it uses less digits than its factorization.

6741471240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 6741471240 is about 82106.4628394136. The cubic root of 6741471240 is about 1889.0852716439.

The spelling of 6741471240 in words is "six billion, seven hundred forty-one million, four hundred seventy-one thousand, two hundred forty".