6740415285120 has 1280 divisors, whose sum is σ = 27799713216000. Its totient is φ = 1540840734720.

The previous prime is 6740415285113. The next prime is 6740415285167. The reversal of 6740415285120 is 215825140476.

6740415285120 is a `hidden beast` number, since 6 + 7 + 40 + 41 + 52 + 8 + 512 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 711084541 + ... + 711094019.

It is an arithmetic number, because the mean of its divisors is an integer number (21718525950).

Almost surely, 2^{6740415285120} is an apocalyptic number.

6740415285120 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 6740415285120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13899856608000).

6740415285120 is an abundant number, since it is smaller than the sum of its proper divisors (21059297930880).

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

6740415285120 is a wasteful number, since it uses less digits than its factorization.

6740415285120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9593 (or 9572 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 6740415285120 in words is "six trillion, seven hundred forty billion, four hundred fifteen million, two hundred eighty-five thousand, one hundred twenty".