16729044864 has 128 divisors (see below), whose sum is σ = 52536038400. Its totient is φ = 4614887424.

The previous prime is 16729044859. The next prime is 16729044869. The reversal of 16729044864 is 46844092761.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (16729044859) and next prime (16729044869).

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×16729044864³ (a number of 32 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16729044869) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29352 + ... + 185255.

It is an arithmetic number, because the mean of its divisors is an integer number (410437800).

Almost surely, 2^16729044864 is an apocalyptic number.

16729044864 is a gapful number since it is divisible by the number (14) 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 16729044864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26268019200).

16729044864 is an abundant number, since it is smaller than the sum of its proper divisors (35806993536).

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

16729044864 is a wasteful number, since it uses less digits than its factorization.

16729044864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214660 (or 214648 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 51.

The spelling of 16729044864 in words is "sixteen billion, seven hundred twenty-nine million, forty-four thousand, eight hundred sixty-four".