16677034920 has 960 divisors, whose sum is σ = 73337616000. Its totient is φ = 3318921216.

The previous prime is 16677034919. The next prime is 16677034921. The reversal of 16677034920 is 2943077661.

16677034920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (16677034919) and next prime (16677034921).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16677034921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 72825366 + ... + 72825594.

It is an arithmetic number, because the mean of its divisors is an integer number (76393350).

Almost surely, 2^16677034920 is an apocalyptic number.

16677034920 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 16677034920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36668808000).

16677034920 is an abundant number, since it is smaller than the sum of its proper divisors (56660581080).

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

16677034920 is a wasteful number, since it uses less digits than its factorization.

16677034920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 16677034920 in words is "sixteen billion, six hundred seventy-seven million, thirty-four thousand, nine hundred twenty".