16406874000 has 960 divisors, whose sum is σ = 67509012480. Its totient is φ = 3849120000.

The previous prime is 16406873957. The next prime is 16406874013. The reversal of 16406874000 is 47860461.

16406874000 is a `hidden beast` number, since 1 + 640 + 6 + 8 + 7 + 4 + 0 + 0 + 0 = 666.

16406874000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 191 ways as a sum of consecutive naturals, for example, 529253985 + ... + 529254015.

It is an arithmetic number, because the mean of its divisors is an integer number (70321888).

Almost surely, 2^16406874000 is an apocalyptic number.

16406874000 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 16406874000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33754506240).

16406874000 is an abundant number, since it is smaller than the sum of its proper divisors (51102138480).

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

16406874000 is an equidigital number, since it uses as much as digits as its factorization.

16406874000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 16406874000 in words is "sixteen billion, four hundred six million, eight hundred seventy-four thousand".