6764707728000 has 1536 divisors, whose sum is σ = 26490186216000. Its totient is φ = 1647968256000.

The previous prime is 6764707727917. The next prime is 6764707728011. The reversal of 6764707728000 is 8277074676.

It can be written as a sum of positive squares in 32 ways, for example, as 3187253242944 + 3577454485056 = 1785288^2 + 1891416^2 .

It is a super-2 number, since 2×6764707728000² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13290191746 + ... + 13290192254.

Almost surely, 2^{6764707728000} is an apocalyptic number.

6764707728000 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 6764707728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13245093108000).

6764707728000 is an abundant number, since it is smaller than the sum of its proper divisors (19725478488000).

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

6764707728000 is a wasteful number, since it uses less digits than its factorization.

6764707728000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711 (or 686 counting only the distinct ones).

The product of its (nonzero) digits is 5531904, while the sum is 54.

The spelling of 6764707728000 in words is "six trillion, seven hundred sixty-four billion, seven hundred seven million, seven hundred twenty-eight thousand".