6742014646752 has 1440 divisors, whose sum is σ = 25677876420000. Its totient is φ = 1715592130560.

The previous prime is 6742014646729. The next prime is 6742014646753. The reversal of 6742014646752 is 2576464102476.

6742014646752 is a `hidden beast` number, since 6 + 7 + 420 + 146 + 4 + 6 + 75 + 2 = 666.

It is a super-3 number, since 3×6742014646752³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 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 (6742014646753) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 45248420374 + ... + 45248420522.

It is an arithmetic number, because the mean of its divisors is an integer number (17831858625).

Almost surely, 2^{6742014646752} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6742014646752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12838938210000).

6742014646752 is an abundant number, since it is smaller than the sum of its proper divisors (18935861773248).

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

6742014646752 is a wasteful number, since it uses less digits than its factorization.

6742014646752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 54.

The spelling of 6742014646752 in words is "six trillion, seven hundred forty-two billion, fourteen million, six hundred forty-six thousand, seven hundred fifty-two".