800221863672 has 576 divisors, whose sum is σ = 2826973094400. Its totient is φ = 199929945600.

The previous prime is 800221863613. The next prime is 800221863677. The reversal of 800221863672 is 276368122008.

800221863672 is a `hidden beast` number, since 8 + 0 + 0 + 2 + 2 + 1 + 8 + 636 + 7 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (800221863677) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 585384733 + ... + 585386099.

It is an arithmetic number, because the mean of its divisors is an integer number (4907939400).

Almost surely, 2^800221863672 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 800221863672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1413486547200).

800221863672 is an abundant number, since it is smaller than the sum of its proper divisors (2026751230728).

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

800221863672 is a wasteful number, since it uses less digits than its factorization.

800221863672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1768 (or 1750 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 800221863672 in words is "eight hundred billion, two hundred twenty-one million, eight hundred sixty-three thousand, six hundred seventy-two".