7168346752 has 384 divisors, whose sum is σ = 19239321600. Its totient is φ = 2594488320.

The previous prime is 7168346729. The next prime is 7168346753. The reversal of 7168346752 is 2576438617.

It is a junction number, because it is equal to n+sod(n) for n = 7168346696 and 7168346705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7168346753) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 152517993 + ... + 152518039.

It is an arithmetic number, because the mean of its divisors is an integer number (50102400).

Almost surely, 2^7168346752 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 7168346752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9619660800).

7168346752 is an abundant number, since it is smaller than the sum of its proper divisors (12070974848).

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

7168346752 is a wasteful number, since it uses less digits than its factorization.

7168346752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 123 counting only the distinct ones).

The product of its digits is 1693440, while the sum is 49.

The square root of 7168346752 is about 84666.0897408165. The cubic root of 7168346752 is about 1928.1449016741.

The spelling of 7168346752 in words is "seven billion, one hundred sixty-eight million, three hundred forty-six thousand, seven hundred fifty-two".