5468167200 has 432 divisors, whose sum is σ = 19180959840. Its totient is φ = 1352355840.

The previous prime is 5468167193. The next prime is 5468167213. The reversal of 5468167200 is 27618645.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 74906364 + ... + 74906436.

It is an arithmetic number, because the mean of its divisors is an integer number (44400370).

Almost surely, 2^5468167200 is an apocalyptic number.

5468167200 is a gapful number since it is divisible by the number (50) 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 5468167200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9590479920).

5468167200 is an abundant number, since it is smaller than the sum of its proper divisors (13712792640).

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

5468167200 is a wasteful number, since it uses less digits than its factorization.

5468167200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 5468167200 is about 73947.0567365598. The cubic root of 5468167200 is about 1761.7620954108.

The spelling of 5468167200 in words is "five billion, four hundred sixty-eight million, one hundred sixty-seven thousand, two hundred".