167242365874360 has 128 divisors (see below), whose sum is σ = 439362899568000. Its totient is φ = 57270393922560.

The previous prime is 167242365874291. The next prime is 167242365874369. The reversal of 167242365874360 is 63478563242761.

It is a super-3 number, since 3×167242365874360³ (a number of 44 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 167242365874292 and 167242365874301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (167242365874369) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3840444 + ... + 18687796.

It is an arithmetic number, because the mean of its divisors is an integer number (3432522652875).

Almost surely, 2^{167242365874360} is an apocalyptic number.

167242365874360 is a gapful number since it is divisible by the number (10) 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 167242365874360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219681449784000).

167242365874360 is an abundant number, since it is smaller than the sum of its proper divisors (272120533693640).

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

167242365874360 is a wasteful number, since it uses less digits than its factorization.

167242365874360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14848206 (or 14848188 counting only the distinct ones).

The product of its (nonzero) digits is 243855360, while the sum is 64.

The spelling of 167242365874360 in words is "one hundred sixty-seven trillion, two hundred forty-two billion, three hundred sixty-five million, eight hundred seventy-four thousand, three hundred sixty".