167664450400 has 72 divisors (see below), whose sum is σ = 409419654840. Its totient is φ = 67047951360.

The previous prime is 167664450397. The next prime is 167664450407. The reversal of 167664450400 is 4054466761.

It is a super-2 number, since 2×167664450400² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (167664450407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3219771 + ... + 3271429.

It is an arithmetic number, because the mean of its divisors is an integer number (5686384095).

Almost surely, 2^167664450400 is an apocalyptic number.

167664450400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

167664450400 is an abundant number, since it is smaller than the sum of its proper divisors (241755204440).

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

167664450400 is a wasteful number, since it uses less digits than its factorization.

167664450400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55736 (or 55723 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 43.

The spelling of 167664450400 in words is "one hundred sixty-seven billion, six hundred sixty-four million, four hundred fifty thousand, four hundred".