16849740960 has 384 divisors, whose sum is σ = 63874863360. Its totient is φ = 4123865088.

The previous prime is 16849740923. The next prime is 16849740983. The reversal of 16849740960 is 6904794861.

16849740960 is a `hidden beast` number, since 1 + 68 + 497 + 4 + 0 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 16849740897 and 16849740906.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11062759 + ... + 11064281.

It is an arithmetic number, because the mean of its divisors is an integer number (166340790).

Almost surely, 2^16849740960 is an apocalyptic number.

16849740960 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 16849740960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31937431680).

16849740960 is an abundant number, since it is smaller than the sum of its proper divisors (47025122400).

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

16849740960 is a wasteful number, since it uses less digits than its factorization.

16849740960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1757 (or 1743 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 16849740960 in words is "sixteen billion, eight hundred forty-nine million, seven hundred forty thousand, nine hundred sixty".