16872007680 has 864 divisors, whose sum is σ = 68820078600. Its totient is φ = 3806330880.

The previous prime is 16872007609. The next prime is 16872007787. The reversal of 16872007680 is 8670027861.

It can be written as a sum of positive squares in 4 ways, for example, as 13248930816 + 3623076864 = 115104^2 + 60192^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 189573076 + ... + 189573164.

Almost surely, 2^16872007680 is an apocalyptic number.

16872007680 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 16872007680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34410039300).

16872007680 is an abundant number, since it is smaller than the sum of its proper divisors (51948070920).

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

16872007680 is a wasteful number, since it uses less digits than its factorization.

16872007680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 16872007680 in words is "sixteen billion, eight hundred seventy-two million, seven thousand, six hundred eighty".