342167016960 has 960 divisors, whose sum is σ = 1276622290944. Its totient is φ = 87787929600.

The previous prime is 342167016943. The next prime is 342167017019. The reversal of 342167016960 is 69610761243.

342167016960 is a `hidden beast` number, since 3 + 421 + 6 + 7 + 0 + 169 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2694228417 + ... + 2694228543.

Almost surely, 2^342167016960 is an apocalyptic number.

342167016960 is a gapful number since it is divisible by the number (30) 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 342167016960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638311145472).

342167016960 is an abundant number, since it is smaller than the sum of its proper divisors (934455273984).

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

342167016960 is an equidigital number, since it uses as much as digits as its factorization.

342167016960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 342167016960 in words is "three hundred forty-two billion, one hundred sixty-seven million, sixteen thousand, nine hundred sixty".