2006062900632 has 384 divisors, whose sum is σ = 6779072102400. Its totient is φ = 522971769600.

The previous prime is 2006062900619. The next prime is 2006062900637. The reversal of 2006062900632 is 2360092606002.

2006062900632 is a `hidden beast` number, since 20 + 0 + 6 + 0 + 629 + 0 + 0 + 6 + 3 + 2 = 666.

It is a super-2 number, since 2×2006062900632² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2006062900637) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 62620603 + ... + 62652629.

It is an arithmetic number, because the mean of its divisors is an integer number (17653833600).

Almost surely, 2^{2006062900632} 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 2006062900632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3389536051200).

2006062900632 is an abundant number, since it is smaller than the sum of its proper divisors (4773009201768).

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

2006062900632 is a wasteful number, since it uses less digits than its factorization.

2006062900632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32307 (or 32300 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 2006062900632 in words is "two trillion, six billion, sixty-two million, nine hundred thousand, six hundred thirty-two".