16864762000 has 80 divisors (see below), whose sum is σ = 41295571200. Its totient is φ = 6660451200.

The previous prime is 16864761961. The next prime is 16864762009. The reversal of 16864762000 is 26746861.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (16864762009) 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 15 ways as a sum of consecutive naturals, for example, 104631 + ... + 211369.

It is an arithmetic number, because the mean of its divisors is an integer number (516194640).

Almost surely, 2^16864762000 is an apocalyptic number.

16864762000 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 16864762000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20647785600).

16864762000 is an abundant number, since it is smaller than the sum of its proper divisors (24430809200).

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

16864762000 is a wasteful number, since it uses less digits than its factorization.

16864762000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106841 (or 106825 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The spelling of 16864762000 in words is "sixteen billion, eight hundred sixty-four million, seven hundred sixty-two thousand".