6766747540992 has 320 divisors, whose sum is σ = 20803047091200. Its totient is φ = 2170162298880.

The previous prime is 6766747540979. The next prime is 6766747541003. The reversal of 6766747540992 is 2990457476676.

It is a happy number.

6766747540992 is a `hidden beast` number, since 6 + 7 + 6 + 6 + 74 + 7 + 540 + 9 + 9 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 6766747540992.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38245692 + ... + 38422212.

It is an arithmetic number, because the mean of its divisors is an integer number (65009522160).

Almost surely, 2^{6766747540992} 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 6766747540992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10401523545600).

6766747540992 is an abundant number, since it is smaller than the sum of its proper divisors (14036299550208).

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

6766747540992 is a wasteful number, since it uses less digits than its factorization.

6766747540992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176654 (or 176632 counting only the distinct ones).

The product of its (nonzero) digits is 960180480, while the sum is 72.

The spelling of 6766747540992 in words is "six trillion, seven hundred sixty-six billion, seven hundred forty-seven million, five hundred forty thousand, nine hundred ninety-two".