867199201344 has 672 divisors, whose sum is σ = 2994065518080. Its totient is φ = 234770006016.

The previous prime is 867199201333. The next prime is 867199201357. The reversal of 867199201344 is 443102991768.

867199201344 is a `hidden beast` number, since 8 + 6 + 7 + 1 + 99 + 201 + 344 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1780696269 + ... + 1780696755.

It is an arithmetic number, because the mean of its divisors is an integer number (4455454640).

Almost surely, 2^867199201344 is an apocalyptic number.

867199201344 is a gapful number since it is divisible by the number (84) 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 867199201344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1497032759040).

867199201344 is an abundant number, since it is smaller than the sum of its proper divisors (2126866316736).

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

867199201344 is a wasteful number, since it uses less digits than its factorization.

867199201344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 795 (or 782 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 867199201344 in words is "eight hundred sixty-seven billion, one hundred ninety-nine million, two hundred one thousand, three hundred forty-four".