7163438211072 has 1792 divisors, whose sum is σ = 26739572428800. Its totient is φ = 1863891025920.

The previous prime is 7163438211067. The next prime is 7163438211121. The reversal of 7163438211072 is 2701128343617.

7163438211072 is a `hidden beast` number, since 7 + 1 + 634 + 3 + 8 + 2 + 1 + 1 + 0 + 7 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 31281389454 + ... + 31281389682.

It is an arithmetic number, because the mean of its divisors is an integer number (14921636400).

Almost surely, 2^{7163438211072} is an apocalyptic number.

7163438211072 is a gapful number since it is divisible by the number (72) 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 7163438211072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13369786214400).

7163438211072 is an abundant number, since it is smaller than the sum of its proper divisors (19576134217728).

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

7163438211072 is a wasteful number, since it uses less digits than its factorization.

7163438211072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 7163438211072 in words is "seven trillion, one hundred sixty-three billion, four hundred thirty-eight million, two hundred eleven thousand, seventy-two".