6776937124992 has 112 divisors (see below), whose sum is σ = 20242134525030. Its totient is φ = 2258979010560.

The previous prime is 6776937124939. The next prime is 6776937124999. The reversal of 6776937124992 is 2994217396776.

It is a happy number.

6776937124992 is a `hidden beast` number, since 6 + 7 + 7 + 6 + 9 + 371 + 249 + 9 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5174241892416 + 1602695232576 = 2274696^2 + 1265976^2 .

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 6776937124992.

It is not an unprimeable number, because it can be changed into a prime (6776937124999) by changing a digit.

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 13 ways as a sum of consecutive naturals, for example, 36220009 + ... + 36406632.

Almost surely, 2^{6776937124992} is an apocalyptic number.

It is an amenable number.

6776937124992 is an abundant number, since it is smaller than the sum of its proper divisors (13465197400038).

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

6776937124992 is an frugal number, since it uses more digits than its factorization.

6776937124992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72626673 (or 72626646 counting only the distinct ones).

The product of its digits is 432081216, while the sum is 72.

The spelling of 6776937124992 in words is "six trillion, seven hundred seventy-six billion, nine hundred thirty-seven million, one hundred twenty-four thousand, nine hundred ninety-two".