16764549120 has 576 divisors, whose sum is σ = 66232857600. Its totient is φ = 3882024960.

The previous prime is 16764549119. The next prime is 16764549161. The reversal of 16764549120 is 2194546761.

16764549120 is a `hidden beast` number, since 1 + 6 + 76 + 454 + 9 + 120 = 666.

16764549120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23316121 + ... + 23316839.

It is an arithmetic number, because the mean of its divisors is an integer number (114987600).

Almost surely, 2^16764549120 is an apocalyptic number.

16764549120 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 16764549120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33116428800).

16764549120 is an abundant number, since it is smaller than the sum of its proper divisors (49468308480).

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

16764549120 is a wasteful number, since it uses less digits than its factorization.

16764549120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 16764549120 in words is "sixteen billion, seven hundred sixty-four million, five hundred forty-nine thousand, one hundred twenty".