1000006806064 has 80 divisors (see below), whose sum is σ = 2269586362176. Its totient is φ = 417885696000.

The previous prime is 1000006806047. The next prime is 1000006806067. The reversal of 1000006806064 is 4606086000001.

It is a super-2 number, since 2×1000006806064² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1000006806067) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8209734 + ... + 8330650.

Almost surely, 2^{1000006806064} is an apocalyptic number.

1000006806064 is a gapful number since it is divisible by the number (14) 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 1000006806064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1134793181088).

1000006806064 is an abundant number, since it is smaller than the sum of its proper divisors (1269579556112).

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

1000006806064 is a wasteful number, since it uses less digits than its factorization.

1000006806064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122774 (or 122768 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The spelling of 1000006806064 in words is "one trillion, six million, eight hundred six thousand, sixty-four".