16782129072 has 320 divisors, whose sum is σ = 51296716800. Its totient is φ = 5246208000.

The previous prime is 16782129017. The next prime is 16782129073. The reversal of 16782129072 is 27092128761.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (16782129073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 66860947 + ... + 66861197.

It is an arithmetic number, because the mean of its divisors is an integer number (160302240).

Almost surely, 2^16782129072 is an apocalyptic number.

16782129072 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 16782129072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25648358400).

16782129072 is an abundant number, since it is smaller than the sum of its proper divisors (34514587728).

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

16782129072 is a wasteful number, since it uses less digits than its factorization.

16782129072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 16782129072 in words is "sixteen billion, seven hundred eighty-two million, one hundred twenty-nine thousand, seventy-two".