6747662038656 has 1536 divisors, whose sum is σ = 24711580016640. Its totient is φ = 1609445376000.

The previous prime is 6747662038603. The next prime is 6747662038673. The reversal of 6747662038656 is 6568302667476.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10208262966 + ... + 10208263626.

It is an arithmetic number, because the mean of its divisors is an integer number (16088268240).

Almost surely, 2^{6747662038656} is an apocalyptic number.

6747662038656 is a gapful number since it is divisible by the number (66) 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 6747662038656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12355790008320).

6747662038656 is an abundant number, since it is smaller than the sum of its proper divisors (17963917977984).

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

6747662038656 is a wasteful number, since it uses less digits than its factorization.

6747662038656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 814 (or 795 counting only the distinct ones).

The product of its (nonzero) digits is 365783040, while the sum is 66.

The spelling of 6747662038656 in words is "six trillion, seven hundred forty-seven billion, six hundred sixty-two million, thirty-eight thousand, six hundred fifty-six".