6740173440 has 1152 divisors, whose sum is σ = 31998395520. Its totient is φ = 1285079040.

The previous prime is 6740173421. The next prime is 6740173459. The reversal of 6740173440 is 443710476.

It is a happy number.

6740173440 is a `hidden beast` number, since 6 + 7 + 40 + 173 + 440 = 666.

It is an interprime number because it is at equal distance from previous prime (6740173421) and next prime (6740173459).

It is a tau number, because it is divible by the number of its divisors (1152).

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 = 6740173395 and 6740173404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 40360237 + ... + 40360403.

It is an arithmetic number, because the mean of its divisors is an integer number (27776385).

Almost surely, 2^6740173440 is an apocalyptic number.

6740173440 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 6740173440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15999197760).

6740173440 is an abundant number, since it is smaller than the sum of its proper divisors (25258222080).

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

6740173440 is a wasteful number, since it uses less digits than its factorization.

6740173440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 6740173440 is about 82098.5593052643. The cubic root of 6740173440 is about 1888.9640413211.

The spelling of 6740173440 in words is "six billion, seven hundred forty million, one hundred seventy-three thousand, four hundred forty".