167172964477920 has 192 divisors, whose sum is σ = 587616561080640. Its totient is φ = 44388128784384.

The previous prime is 167172964477903. The next prime is 167172964477927. The reversal of 167172964477920 is 29774469271761.

167172964477920 is a `hidden beast` number, since 1 + 6 + 7 + 1 + 7 + 2 + 9 + 64 + 477 + 92 + 0 = 666.

167172964477920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (167172964477927) 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, 82035169 + ... + 84048288.

It is an arithmetic number, because the mean of its divisors is an integer number (3060502922295).

Almost surely, 2^{167172964477920} is an apocalyptic number.

167172964477920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

167172964477920 is an abundant number, since it is smaller than the sum of its proper divisors (420443596602720).

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

167172964477920 is a wasteful number, since it uses less digits than its factorization.

167172964477920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166083714 (or 166083700 counting only the distinct ones).

The product of its (nonzero) digits is 448084224, while the sum is 72.

The spelling of 167172964477920 in words is "one hundred sixty-seven trillion, one hundred seventy-two billion, nine hundred sixty-four million, four hundred seventy-seven thousand, nine hundred twenty".