6955749217872 has 480 divisors, whose sum is σ = 24235757145600. Its totient is φ = 1813349265408.

The previous prime is 6955749217861. The next prime is 6955749217873. The reversal of 6955749217872 is 2787129475596.

6955749217872 is a `hidden beast` number, since 6 + 9 + 5 + 57 + 492 + 1 + 7 + 87 + 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 6955749217872.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6955749217873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 627033958 + ... + 627045050.

It is an arithmetic number, because the mean of its divisors is an integer number (50491160720).

Almost surely, 2^{6955749217872} 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 6955749217872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12117878572800).

6955749217872 is an abundant number, since it is smaller than the sum of its proper divisors (17280007927728).

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

6955749217872 is a wasteful number, since it uses less digits than its factorization.

6955749217872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11675 (or 11666 counting only the distinct ones).

The product of its digits is 533433600, while the sum is 72.

The spelling of 6955749217872 in words is "six trillion, nine hundred fifty-five billion, seven hundred forty-nine million, two hundred seventeen thousand, eight hundred seventy-two".