6740417040 has 640 divisors, whose sum is σ = 26543158272. Its totient is φ = 1380188160.

The previous prime is 6740417027. The next prime is 6740417083. The reversal of 6740417040 is 407140476.

It is a junction number, because it is equal to n+sod(n) for n = 6740416992 and 6740417010.

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, 92334444 + ... + 92334516.

Almost surely, 2^6740417040 is an apocalyptic number.

6740417040 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 6740417040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13271579136).

6740417040 is an abundant number, since it is smaller than the sum of its proper divisors (19802741232).

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

6740417040 is a wasteful number, since it uses less digits than its factorization.

6740417040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 33.

The square root of 6740417040 is about 82100.0428745320. The cubic root of 6740417040 is about 1888.9867977136.

The spelling of 6740417040 in words is "six billion, seven hundred forty million, four hundred seventeen thousand, forty".