2006735534064 has 60 divisors (see below), whose sum is σ = 5623375758000. Its totient is φ = 668041961472.

The previous prime is 2006735534029. The next prime is 2006735534123. The reversal of 2006735534064 is 4604355376002.

2006735534064 is a `hidden beast` number, since 20 + 0 + 6 + 7 + 35 + 534 + 0 + 64 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8950164 + ... + 9171635.

It is an arithmetic number, because the mean of its divisors is an integer number (93722929300).

Almost surely, 2^{2006735534064} is an apocalyptic number.

2006735534064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2006735534064 is an abundant number, since it is smaller than the sum of its proper divisors (3616640223936).

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

2006735534064 is a wasteful number, since it uses less digits than its factorization.

2006735534064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18122582 (or 18122573 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 45.

The spelling of 2006735534064 in words is "two trillion, six billion, seven hundred thirty-five million, five hundred thirty-four thousand, sixty-four".