16836711840 has 288 divisors, whose sum is σ = 64168505856. Its totient is φ = 4144296960.

The previous prime is 16836711803. The next prime is 16836711937. The reversal of 16836711840 is 4811763861.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 488785 + ... + 522095.

It is an arithmetic number, because the mean of its divisors is an integer number (222807312).

Almost surely, 2^16836711840 is an apocalyptic number.

16836711840 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 16836711840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32084252928).

16836711840 is an abundant number, since it is smaller than the sum of its proper divisors (47331794016).

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

16836711840 is a wasteful number, since it uses less digits than its factorization.

16836711840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33354 (or 33334 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 16836711840 in words is "sixteen billion, eight hundred thirty-six million, seven hundred eleven thousand, eight hundred forty".