16679643120 has 600 divisors, whose sum is σ = 68072727888. Its totient is φ = 3773952000.

The previous prime is 16679643073. The next prime is 16679643131. The reversal of 16679643120 is 2134697661.

It is a super-2 number, since 2×16679643120² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

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 119 ways as a sum of consecutive naturals, for example, 41594920 + ... + 41595320.

Almost surely, 2^16679643120 is an apocalyptic number.

16679643120 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 16679643120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34036363944).

16679643120 is an abundant number, since it is smaller than the sum of its proper divisors (51393084768).

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

16679643120 is a wasteful number, since it uses less digits than its factorization.

16679643120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 16679643120 in words is "sixteen billion, six hundred seventy-nine million, six hundred forty-three thousand, one hundred twenty".