2006836776432 has 200 divisors, whose sum is σ = 5856302224256. Its totient is φ = 663442441344.

The previous prime is 2006836776419. The next prime is 2006836776443. The reversal of 2006836776432 is 2346776386002.

2006836776432 is a `hidden beast` number, since 2 + 0 + 0 + 6 + 83 + 67 + 76 + 432 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 39 ways as a sum of consecutive naturals, for example, 102868023 + ... + 102887529.

Almost surely, 2^{2006836776432} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2006836776432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2928151112128).

2006836776432 is an abundant number, since it is smaller than the sum of its proper divisors (3849465447824).

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

2006836776432 is a wasteful number, since it uses less digits than its factorization.

2006836776432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20177 (or 20162 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 54.

The spelling of 2006836776432 in words is "two trillion, six billion, eight hundred thirty-six million, seven hundred seventy-six thousand, four hundred thirty-two".