167864348160 has 800 divisors, whose sum is σ = 638767812672. Its totient is φ = 42042654720.

The previous prime is 167864348147. The next prime is 167864348161. The reversal of 167864348160 is 61843468761.

167864348160 is a `hidden beast` number, since 1 + 6 + 78 + 6 + 434 + 81 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 167864348097 and 167864348106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (167864348161) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 290925792 + ... + 290926368.

Almost surely, 2^167864348160 is an apocalyptic number.

167864348160 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 167864348160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319383906336).

167864348160 is an abundant number, since it is smaller than the sum of its proper divisors (470903464512).

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

167864348160 is an equidigital number, since it uses as much as digits as its factorization.

167864348160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 696 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 167864348160 in words is "one hundred sixty-seven billion, eight hundred sixty-four million, three hundred forty-eight thousand, one hundred sixty".