6724960801956 has 72 divisors (see below), whose sum is σ = 17026844889600. Its totient is φ = 2238010826880.

The previous prime is 6724960801939. The next prime is 6724960801957. The reversal of 6724960801956 is 6591080694276.

6724960801956 is a `hidden beast` number, since 6 + 7 + 2 + 4 + 9 + 608 + 0 + 19 + 5 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 6724960801893 and 6724960801902.

It is not an unprimeable number, because it can be changed into a prime (6724960801957) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91986625 + ... + 92059703.

It is an arithmetic number, because the mean of its divisors is an integer number (236483956800).

Almost surely, 2^{6724960801956} is an apocalyptic number.

It is an amenable number.

6724960801956 is an abundant number, since it is smaller than the sum of its proper divisors (10301884087644).

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

6724960801956 is a wasteful number, since it uses less digits than its factorization.

6724960801956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77209 (or 77204 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 6724960801956 in words is "six trillion, seven hundred twenty-four billion, nine hundred sixty million, eight hundred one thousand, nine hundred fifty-six".