6744767201280 has 1520 divisors, whose sum is σ = 26555958632016. Its totient is φ = 1630745395200.

The previous prime is 6744767201231. The next prime is 6744767201287. The reversal of 6744767201280 is 821027674476.

6744767201280 is a `hidden beast` number, since 6 + 7 + 447 + 6 + 72 + 0 + 128 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2133749661696 + 4611017539584 = 1460736^2 + 2147328^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6744767201287) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 66779873230 + ... + 66779873330.

Almost surely, 2^{6744767201280} is an apocalyptic number.

6744767201280 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 6744767201280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13277979316008).

6744767201280 is an abundant number, since it is smaller than the sum of its proper divisors (19811191430736).

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

6744767201280 is an equidigital number, since it uses as much as digits as its factorization.

6744767201280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 6322176, while the sum is 54.

The spelling of 6744767201280 in words is "six trillion, seven hundred forty-four billion, seven hundred sixty-seven million, two hundred one thousand, two hundred eighty".