842167273920 has 224 divisors, whose sum is σ = 3126931788288. Its totient is φ = 188018675712.

The previous prime is 842167273903. The next prime is 842167273933. The reversal of 842167273920 is 29372761248.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1168279 + ... + 1746198.

It is an arithmetic number, because the mean of its divisors is an integer number (13959516912).

Almost surely, 2^842167273920 is an apocalyptic number.

842167273920 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

842167273920 is an abundant number, since it is smaller than the sum of its proper divisors (2284764514368).

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

842167273920 is a wasteful number, since it uses less digits than its factorization.

842167273920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2914547 (or 2914537 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 51.

The spelling of 842167273920 in words is "eight hundred forty-two billion, one hundred sixty-seven million, two hundred seventy-three thousand, nine hundred twenty".