6741360599040 has 672 divisors, whose sum is σ = 23679393693696. Its totient is φ = 1773966458880.

The previous prime is 6741360599003. The next prime is 6741360599081. The reversal of 6741360599040 is 409950631476.

6741360599040 is a `hidden beast` number, since 6 + 7 + 4 + 1 + 3 + 6 + 0 + 599 + 0 + 40 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14560173849 + ... + 14560174311.

Almost surely, 2^{6741360599040} is an apocalyptic number.

6741360599040 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 6741360599040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11839696846848).

6741360599040 is an abundant number, since it is smaller than the sum of its proper divisors (16938033094656).

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

6741360599040 is a wasteful number, since it uses less digits than its factorization.

6741360599040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 938 (or 911 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 6741360599040 in words is "six trillion, seven hundred forty-one billion, three hundred sixty million, five hundred ninety-nine thousand, forty".