167506436560 has 320 divisors, whose sum is σ = 427322649600. Its totient is φ = 60866297856.

The previous prime is 167506436521. The next prime is 167506436561. The reversal of 167506436560 is 65634605761.

It is a super-3 number, since 3×167506436560³ (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (167506436561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 850286382 + ... + 850286578.

It is an arithmetic number, because the mean of its divisors is an integer number (1335383280).

Almost surely, 2^167506436560 is an apocalyptic number.

167506436560 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 167506436560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213661324800).

167506436560 is an abundant number, since it is smaller than the sum of its proper divisors (259816213040).

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

167506436560 is a wasteful number, since it uses less digits than its factorization.

167506436560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 49.

The spelling of 167506436560 in words is "one hundred sixty-seven billion, five hundred six million, four hundred thirty-six thousand, five hundred sixty".