800467061472 has 432 divisors, whose sum is σ = 2558278090368. Its totient is φ = 237054504960.

The previous prime is 800467061467. The next prime is 800467061473. The reversal of 800467061472 is 274160764008.

800467061472 is a `hidden beast` number, since 80 + 0 + 46 + 7 + 0 + 61 + 472 = 666.

800467061472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (800467061473) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 297238558 + ... + 297241250.

It is an arithmetic number, because the mean of its divisors is an integer number (5921940024).

Almost surely, 2^800467061472 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 800467061472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1279139045184).

800467061472 is an abundant number, since it is smaller than the sum of its proper divisors (1757811028896).

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

800467061472 is a wasteful number, since it uses less digits than its factorization.

800467061472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2963 (or 2939 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 800467061472 in words is "eight hundred billion, four hundred sixty-seven million, sixty-one thousand, four hundred seventy-two".