6972821927136 has 576 divisors, whose sum is σ = 23249104704000. Its totient is φ = 2026612224000.

The previous prime is 6972821927069. The next prime is 6972821927173. The reversal of 6972821927136 is 6317291282796.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 995971636 + ... + 995978636.

It is an arithmetic number, because the mean of its divisors is an integer number (40363029000).

Almost surely, 2^{6972821927136} 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 6972821927136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11624552352000).

6972821927136 is an abundant number, since it is smaller than the sum of its proper divisors (16276282776864).

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

6972821927136 is a wasteful number, since it uses less digits than its factorization.

6972821927136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7424 (or 7397 counting only the distinct ones).

The product of its digits is 27433728, while the sum is 63.

The spelling of 6972821927136 in words is "six trillion, nine hundred seventy-two billion, eight hundred twenty-one million, nine hundred twenty-seven thousand, one hundred thirty-six".