6747540135840 has 672 divisors, whose sum is σ = 28752742005120. Its totient is φ = 1461118113792.

The previous prime is 6747540135793. The next prime is 6747540135907. The reversal of 6747540135840 is 485310457476.

6747540135840 is a `hidden beast` number, since 6 + 7 + 4 + 7 + 5 + 40 + 13 + 584 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 15295642 + ... + 15730598.

It is an arithmetic number, because the mean of its divisors is an integer number (42786818460).

Almost surely, 2^{6747540135840} is an apocalyptic number.

6747540135840 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 6747540135840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14376371002560).

6747540135840 is an abundant number, since it is smaller than the sum of its proper divisors (22005201869280).

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

6747540135840 is a wasteful number, since it uses less digits than its factorization.

6747540135840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435016 (or 434993 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 54.

The spelling of 6747540135840 in words is "six trillion, seven hundred forty-seven billion, five hundred forty million, one hundred thirty-five thousand, eight hundred forty".