6742673280 has 640 divisors, whose sum is σ = 29164639680. Its totient is φ = 1449197568.

The previous prime is 6742673257. The next prime is 6742673293. The reversal of 6742673280 is 823762476.

6742673280 is a `hidden beast` number, since 67 + 4 + 267 + 328 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6168414 + ... + 6169506.

Almost surely, 2^6742673280 is an apocalyptic number.

6742673280 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 6742673280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14582319840).

6742673280 is an abundant number, since it is smaller than the sum of its proper divisors (22421966400).

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

6742673280 is a wasteful number, since it uses less digits than its factorization.

6742673280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1148 (or 1127 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The square root of 6742673280 is about 82113.7825215719. The cubic root of 6742673280 is about 1889.1975429385.

The spelling of 6742673280 in words is "six billion, seven hundred forty-two million, six hundred seventy-three thousand, two hundred eighty".