16460021760 has 640 divisors, whose sum is σ = 67645670400. Its totient is φ = 3321888768.

The previous prime is 16460021759. The next prime is 16460021849. The reversal of 16460021760 is 6712006461.

It is a tau number, because it is divible by the number of its divisors (640).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 715653109 + ... + 715653131.

It is an arithmetic number, because the mean of its divisors is an integer number (105696360).

Almost surely, 2^16460021760 is an apocalyptic number.

16460021760 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 16460021760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33822835200).

16460021760 is an abundant number, since it is smaller than the sum of its proper divisors (51185648640).

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

16460021760 is an frugal number, since it uses more digits than its factorization.

16460021760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The spelling of 16460021760 in words is "sixteen billion, four hundred sixty million, twenty-one thousand, seven hundred sixty".