6724984777056 has 144 divisors (see below), whose sum is σ = 23537446811424. Its totient is φ = 1773622351872.

The previous prime is 6724984777037. The next prime is 6724984777097. The reversal of 6724984777056 is 6507774894276.

6724984777056 is a `hidden beast` number, since 67 + 2 + 4 + 98 + 477 + 7 + 0 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

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 23 ways as a sum of consecutive naturals, for example, 128274021 + ... + 128326436.

It is an arithmetic number, because the mean of its divisors is an integer number (163454491746).

Almost surely, 2^{6724984777056} is an apocalyptic number.

It is an amenable number.

6724984777056 is an abundant number, since it is smaller than the sum of its proper divisors (16812462034368).

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

6724984777056 is a wasteful number, since it uses less digits than its factorization.

6724984777056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256600493 (or 256600482 counting only the distinct ones).

The product of its (nonzero) digits is 995742720, while the sum is 72.

The spelling of 6724984777056 in words is "six trillion, seven hundred twenty-four billion, nine hundred eighty-four million, seven hundred seventy-seven thousand, fifty-six".