6747168637440 has 3200 divisors, whose sum is σ = 31732051304448. Its totient is φ = 1335093166080.

The previous prime is 6747168637439. The next prime is 6747168637507. The reversal of 6747168637440 is 447368617476.

6747168637440 is a `hidden beast` number, since 6 + 7 + 4 + 71 + 68 + 63 + 7 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 143556779497 + ... + 143556779543.

Almost surely, 2^{6747168637440} is an apocalyptic number.

6747168637440 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 6747168637440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15866025652224).

6747168637440 is an abundant number, since it is smaller than the sum of its proper divisors (24984882667008).

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

6747168637440 is an frugal number, since it uses more digits than its factorization.

6747168637440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 113799168, while the sum is 63.

The spelling of 6747168637440 in words is "six trillion, seven hundred forty-seven billion, one hundred sixty-eight million, six hundred thirty-seven thousand, four hundred forty".