16761064320 has 2560 divisors, whose sum is σ = 89573299200. Its totient is φ = 2866544640.

The previous prime is 16761064297. The next prime is 16761064357. The reversal of 16761064320 is 2346016761.

It is a happy number.

16761064320 is a `hidden beast` number, since 1 + 6 + 7 + 6 + 1 + 0 + 643 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 882161271 + ... + 882161289.

It is an arithmetic number, because the mean of its divisors is an integer number (34989570).

Almost surely, 2^16761064320 is an apocalyptic number.

16761064320 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 16761064320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44786649600).

16761064320 is an abundant number, since it is smaller than the sum of its proper divisors (72812234880).

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

16761064320 is a wasteful number, since it uses less digits than its factorization.

16761064320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 16761064320 in words is "sixteen billion, seven hundred sixty-one million, sixty-four thousand, three hundred twenty".