6972134400000 has 2688 divisors, whose sum is σ = 32436263946240. Its totient is φ = 1437696000000.

The previous prime is 6972134399933. The next prime is 6972134400043. The reversal of 6972134400000 is 44312796.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a super-2 number, since 2×6972134400000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 53222399935 + ... + 53222400065.

It is an arithmetic number, because the mean of its divisors is an integer number (12067062480).

Almost surely, 2^{6972134400000} is an apocalyptic number.

6972134400000 is a gapful number since it is divisible by the number (60) 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 6972134400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16218131973120).

6972134400000 is an abundant number, since it is smaller than the sum of its proper divisors (25464129546240).

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

6972134400000 is an equidigital number, since it uses as much as digits as its factorization.

6972134400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

Adding to 6972134400000 its reverse (44312796), we get a palindrome (6972178712796).

The spelling of 6972134400000 in words is "six trillion, nine hundred seventy-two billion, one hundred thirty-four million, four hundred thousand".