2006642958768 has 640 divisors, whose sum is σ = 7041749299200. Its totient is φ = 534069116928.

The previous prime is 2006642958709. The next prime is 2006642958809. The reversal of 2006642958768 is 8678592466002.

2006642958768 is a `hidden beast` number, since 2 + 0 + 0 + 6 + 6 + 42 + 9 + 587 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2609418288 + ... + 2609419056.

It is an arithmetic number, because the mean of its divisors is an integer number (11002733280).

Almost surely, 2^{2006642958768} is an apocalyptic number.

2006642958768 is a gapful number since it is divisible by the number (28) 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 2006642958768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3520874649600).

2006642958768 is an abundant number, since it is smaller than the sum of its proper divisors (5035106340432).

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

2006642958768 is a wasteful number, since it uses less digits than its factorization.

2006642958768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1266 (or 1254 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 2006642958768 in words is "two trillion, six billion, six hundred forty-two million, nine hundred fifty-eight thousand, seven hundred sixty-eight".