6985008001 has 8 divisors (see below), whose sum is σ = 7043379200. Its totient is φ = 6926689728.

The previous prime is 6985007969. The next prime is 6985008007. The reversal of 6985008001 is 1008005896.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 6985008001 - 2⁵ = 6985007969 is a prime.

It is a Duffinian number.

6985008001 is a modest number, since divided by 8001 gives 6985 as remainder.

It is not an unprimeable number, because it can be changed into a prime (6985008007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 278425 + ... + 302473.

It is an arithmetic number, because the mean of its divisors is an integer number (880422400).

Almost surely, 2^6985008001 is an apocalyptic number.

It is an amenable number.

6985008001 is a deficient number, since it is larger than the sum of its proper divisors (58371199).

6985008001 is a wasteful number, since it uses less digits than its factorization.

6985008001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26463.

The product of its (nonzero) digits is 17280, while the sum is 37.

The square root of 6985008001 is about 83576.3603000274. The cubic root of 6985008001 is about 1911.5645560768.

The spelling of 6985008001 in words is "six billion, nine hundred eighty-five million, eight thousand, one".