17672000000 has 210 divisors, whose sum is σ = 45095340741. Its totient is φ = 6918400000.

The previous prime is 17671999993. The next prime is 17672000011. The reversal of 17672000000 is 27671.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 4 ways, for example, as 3013570816 + 14658429184 = 54896^2 + 121072^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=94000.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 17672000000.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 375999977 + ... + 376000023.

Almost surely, 2^17672000000 is an apocalyptic number.

17672000000 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 17672000000

17672000000 is an abundant number, since it is smaller than the sum of its proper divisors (27423340741).

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

17672000000 is an frugal number, since it uses more digits than its factorization.

17672000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 23.

Adding to 17672000000 its reverse (27671), we get a palindrome (17672027671).

The spelling of 17672000000 in words is "seventeen billion, six hundred seventy-two million", and thus it is an aban number.