6972950185344 has 1024 divisors, whose sum is σ = 25514818560000. Its totient is φ = 1843138437120.

The previous prime is 6972950185337. The next prime is 6972950185349. The reversal of 6972950185344 is 4435810592796.

6972950185344 is a `hidden beast` number, since 6 + 9 + 7 + 2 + 9 + 501 + 85 + 3 + 44 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6972950185349) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5286542317 + ... + 5286543635.

It is an arithmetic number, because the mean of its divisors is an integer number (24916815000).

It is a 1-persistent number, because it is pandigital, but 2⋅6972950185344 = 13945900370688 is not.

Almost surely, 2^{6972950185344} is an apocalyptic number.

6972950185344 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 6972950185344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12757409280000).

6972950185344 is an abundant number, since it is smaller than the sum of its proper divisors (18541868374656).

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

6972950185344 is a wasteful number, since it uses less digits than its factorization.

6972950185344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1948 (or 1930 counting only the distinct ones).

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

The spelling of 6972950185344 in words is "six trillion, nine hundred seventy-two billion, nine hundred fifty million, one hundred eighty-five thousand, three hundred forty-four".