167424122880 has 1008 divisors, whose sum is σ = 696492444960. Its totient is φ = 37838389248.

The previous prime is 167424122839. The next prime is 167424122891. The reversal of 167424122880 is 88221424761.

It is a tau number, because it is divible by the number of its divisors (1008).

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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1881169876 + ... + 1881169964.

Almost surely, 2^167424122880 is an apocalyptic number.

167424122880 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 167424122880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348246222480).

167424122880 is an abundant number, since it is smaller than the sum of its proper divisors (529068322080).

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

167424122880 is an frugal number, since it uses more digits than its factorization.

167424122880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 167424122880 in words is "one hundred sixty-seven billion, four hundred twenty-four million, one hundred twenty-two thousand, eight hundred eighty".