16167900672 has 800 divisors, whose sum is σ = 61887538944. Its totient is φ = 4080844800.

The previous prime is 16167900667. The next prime is 16167900691. The reversal of 16167900672 is 27600976161.

It is a happy number.

It is a super-2 number, since 2×16167900672² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 194793943 + ... + 194794025.

Almost surely, 2^16167900672 is an apocalyptic number.

16167900672 is a gapful number since it is divisible by the number (12) 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 16167900672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30943769472).

16167900672 is an abundant number, since it is smaller than the sum of its proper divisors (45719638272).

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

16167900672 is an equidigital number, since it uses as much as digits as its factorization.

16167900672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The spelling of 16167900672 in words is "sixteen billion, one hundred sixty-seven million, nine hundred thousand, six hundred seventy-two".