6972645351168 has 864 divisors, whose sum is σ = 25256324620800. Its totient is φ = 1804975570944.

The previous prime is 6972645351157. The next prime is 6972645351229. The reversal of 6972645351168 is 8611535462796.

It is a happy number.

6972645351168 is a `hidden beast` number, since 6 + 9 + 7 + 2 + 6 + 4 + 53 + 511 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

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, 950854830 + ... + 950862162.

It is an arithmetic number, because the mean of its divisors is an integer number (29231857200).

Almost surely, 2^{6972645351168} 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 6972645351168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12628162310400).

6972645351168 is an abundant number, since it is smaller than the sum of its proper divisors (18283679269632).

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

6972645351168 is a wasteful number, since it uses less digits than its factorization.

6972645351168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7517 (or 7500 counting only the distinct ones).

The product of its digits is 65318400, while the sum is 63.

The spelling of 6972645351168 in words is "six trillion, nine hundred seventy-two billion, six hundred forty-five million, three hundred fifty-one thousand, one hundred sixty-eight".