167040921600 has 1404 divisors, whose sum is σ = 727032701304. Its totient is φ = 37902090240.

The previous prime is 167040921583. The next prime is 167040921617. The reversal of 167040921600 is 6129040761.

167040921600 is a `hidden beast` number, since 1 + 6 + 7 + 0 + 40 + 9 + 2 + 1 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (167040921583) and next prime (167040921617).

It is a super-4 number, since 4×167040921600⁴ (a number of 46 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 107 ways as a sum of consecutive naturals, for example, 1219276732 + ... + 1219276868.

Almost surely, 2^167040921600 is an apocalyptic number.

167040921600 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 167040921600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363516350652).

167040921600 is an abundant number, since it is smaller than the sum of its proper divisors (559991779704).

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

167040921600 is an equidigital number, since it uses as much as digits as its factorization.

167040921600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 167040921600 in words is "one hundred sixty-seven billion, forty million, nine hundred twenty-one thousand, six hundred".