16672657320 has 768 divisors, whose sum is σ = 65686982400. Its totient is φ = 3622993920.

The previous prime is 16672657291. The next prime is 16672657327. The reversal of 16672657320 is 2375627661.

16672657320 is a `hidden beast` number, since 1 + 6 + 6 + 72 + 6 + 573 + 2 + 0 = 666.

16672657320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×16672657320² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (16672657327) 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 191 ways as a sum of consecutive naturals, for example, 147545584 + ... + 147545696.

It is an arithmetic number, because the mean of its divisors is an integer number (85529925).

Almost surely, 2^16672657320 is an apocalyptic number.

16672657320 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 16672657320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32843491200).

16672657320 is an abundant number, since it is smaller than the sum of its proper divisors (49014325080).

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

16672657320 is a wasteful number, since it uses less digits than its factorization.

16672657320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 16672657320 in words is "sixteen billion, six hundred seventy-two million, six hundred fifty-seven thousand, three hundred twenty".