16640182400 has 96 divisors (see below), whose sum is σ = 41278929780. Its totient is φ = 6628147200.

The previous prime is 16640182379. The next prime is 16640182409. The reversal of 16640182400 is 428104661.

It can be written as a sum of positive squares in 6 ways, for example, as 11315853376 + 5324329024 = 106376^2 + 72968^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (16640182409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 760412 + ... + 781988.

Almost surely, 2^16640182400 is an apocalyptic number.

16640182400 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 16640182400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20639464890).

16640182400 is an abundant number, since it is smaller than the sum of its proper divisors (24638747380).

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

16640182400 is a wasteful number, since it uses less digits than its factorization.

16640182400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21842 (or 21825 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The spelling of 16640182400 in words is "sixteen billion, six hundred forty million, one hundred eighty-two thousand, four hundred".