16770821760 has 384 divisors, whose sum is σ = 72203564160. Its totient is φ = 3484753920.

The previous prime is 16770821741. The next prime is 16770821783. The reversal of 16770821760 is 6712807761.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 424614 + ... + 462426.

It is an arithmetic number, because the mean of its divisors is an integer number (188030115).

Almost surely, 2^16770821760 is an apocalyptic number.

16770821760 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 16770821760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36101782080).

16770821760 is an abundant number, since it is smaller than the sum of its proper divisors (55432742400).

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

16770821760 is a wasteful number, since it uses less digits than its factorization.

16770821760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37856 (or 37841 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 45.

The spelling of 16770821760 in words is "sixteen billion, seven hundred seventy million, eight hundred twenty-one thousand, seven hundred sixty".