16642056400 has 60 divisors (see below), whose sum is σ = 40125098124. Its totient is φ = 6633088000.

The previous prime is 16642056383. The next prime is 16642056421. The reversal of 16642056400 is 465024661.

It can be written as a sum of positive squares in 6 ways, for example, as 823460416 + 15818595984 = 28696^2 + 125772^2 .

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 11 ways as a sum of consecutive naturals, for example, 38370 + ... + 186430.

Almost surely, 2^16642056400 is an apocalyptic number.

16642056400 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 16642056400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20062549062).

16642056400 is an abundant number, since it is smaller than the sum of its proper divisors (23483041724).

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

16642056400 is a wasteful number, since it uses less digits than its factorization.

16642056400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148360 (or 148349 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The spelling of 16642056400 in words is "sixteen billion, six hundred forty-two million, fifty-six thousand, four hundred".