6972653039616 has 312 divisors, whose sum is σ = 21988313568000. Its totient is φ = 2111331532800.

The previous prime is 6972653039591. The next prime is 6972653039617. The reversal of 6972653039616 is 6169303562796.

6972653039616 is a `hidden beast` number, since 6 + 9 + 7 + 2 + 6 + 5 + 3 + 0 + 3 + 9 + 616 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6972653039617) 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 23 ways as a sum of consecutive naturals, for example, 607844761 + ... + 607856231.

It is an arithmetic number, because the mean of its divisors is an integer number (70475364000).

Almost surely, 2^{6972653039616} is an apocalyptic number.

6972653039616 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6972653039616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10994156784000).

6972653039616 is an abundant number, since it is smaller than the sum of its proper divisors (15015660528384).

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

6972653039616 is a wasteful number, since it uses less digits than its factorization.

6972653039616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13011 (or 12986 counting only the distinct ones).

The product of its (nonzero) digits is 66134880, while the sum is 63.

The spelling of 6972653039616 in words is "six trillion, nine hundred seventy-two billion, six hundred fifty-three million, thirty-nine thousand, six hundred sixteen".