16612406784000 has 624 divisors, whose sum is σ = 60560323630560. Its totient is φ = 4380092006400.

The previous prime is 16612406783981. The next prime is 16612406784019. The reversal of 16612406784000 is 48760421661.

16612406784000 is a `hidden beast` number, since 1 + 66 + 124 + 0 + 67 + 8 + 400 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (16612406783981) and next prime (16612406784019).

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 (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 410091747 + ... + 410132253.

It is an arithmetic number, because the mean of its divisors is an integer number (97051800690).

Almost surely, 2^{16612406784000} is an apocalyptic number.

16612406784000 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 16612406784000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30280161815280).

16612406784000 is an abundant number, since it is smaller than the sum of its proper divisors (43947916846560).

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

16612406784000 is an equidigital number, since it uses as much as digits as its factorization.

16612406784000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40641 (or 40606 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 16612406784000 in words is "sixteen trillion, six hundred twelve billion, four hundred six million, seven hundred eighty-four thousand".