16491824640 has 320 divisors, whose sum is σ = 58825609920. Its totient is φ = 4379443200.

The previous prime is 16491824599. The next prime is 16491824669. The reversal of 16491824640 is 4642819461.

16491824640 is a `hidden beast` number, since 1 + 6 + 4 + 9 + 182 + 464 + 0 = 666.

16491824640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×16491824640² (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 (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27440340 + ... + 27440940.

It is an arithmetic number, because the mean of its divisors is an integer number (183830031).

Almost surely, 2^16491824640 is an apocalyptic number.

16491824640 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 16491824640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29412804960).

16491824640 is an abundant number, since it is smaller than the sum of its proper divisors (42333785280).

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

16491824640 is an equidigital number, since it uses as much as digits as its factorization.

16491824640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1030 (or 1008 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 16491824640 in words is "sixteen billion, four hundred ninety-one million, eight hundred twenty-four thousand, six hundred forty".