6972318144 has 252 divisors, whose sum is σ = 22292066160. Its totient is φ = 2081587200.

The previous prime is 6972318091. The next prime is 6972318149. The reversal of 6972318144 is 4418132796.

It is a super-3 number, since 3×6972318144³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 6972318144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6972318149) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4947712 + ... + 4949120.

It is an arithmetic number, because the mean of its divisors is an integer number (88460580).

Almost surely, 2^6972318144 is an apocalyptic number.

6972318144 is a gapful number since it is divisible by the number (64) 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 6972318144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11146033080).

6972318144 is an abundant number, since it is smaller than the sum of its proper divisors (15319748016).

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

6972318144 is a wasteful number, since it uses less digits than its factorization.

6972318144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1520 (or 1496 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 6972318144 is about 83500.4080469072. The cubic root of 6972318144 is about 1910.4062569764.

The spelling of 6972318144 in words is "six billion, nine hundred seventy-two million, three hundred eighteen thousand, one hundred forty-four".