16643764874880 has 2304 divisors, whose sum is σ = 74230262870400. Its totient is φ = 3383112499200.

The previous prime is 16643764874879. The next prime is 16643764874939. The reversal of 16643764874880 is 8847846734661.

16643764874880 is a `hidden beast` number, since 1 + 6 + 6 + 4 + 3 + 7 + 64 + 87 + 488 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 16643764874799 and 16643764874808.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 6903260875 + ... + 6903263285.

Almost surely, 2^{16643764874880} is an apocalyptic number.

16643764874880 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 16643764874880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37115131435200).

16643764874880 is an abundant number, since it is smaller than the sum of its proper divisors (57586497995520).

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

16643764874880 is a wasteful number, since it uses less digits than its factorization.

16643764874880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2523 (or 2491 counting only the distinct ones).

The product of its (nonzero) digits is 1040449536, while the sum is 72.

The spelling of 16643764874880 in words is "sixteen trillion, six hundred forty-three billion, seven hundred sixty-four million, eight hundred seventy-four thousand, eight hundred eighty".