6741716940 has 288 divisors, whose sum is σ = 25188710400. Its totient is φ = 1491073920.

The previous prime is 6741716929. The next prime is 6741716953. The reversal of 6741716940 is 496171476.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 816151 + ... + 824369.

It is an arithmetic number, because the mean of its divisors is an integer number (87460800).

Almost surely, 2^6741716940 is an apocalyptic number.

6741716940 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 6741716940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12594355200).

6741716940 is an abundant number, since it is smaller than the sum of its proper divisors (18446993460).

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

6741716940 is a wasteful number, since it uses less digits than its factorization.

6741716940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8282 (or 8267 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 6741716940 is about 82107.9590539188. The cubic root of 6741716940 is about 1889.1082212641.

The spelling of 6741716940 in words is "six billion, seven hundred forty-one million, seven hundred sixteen thousand, nine hundred forty".