6966662401 has 8 divisors (see below), whose sum is σ = 7177533480. Its totient is φ = 6756979968.

The previous prime is 6966662393. The next prime is 6966662411. The reversal of 6966662401 is 1042666696.

6966662401 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 805197376 + 6161465025 = 28376^2 + 78495^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 6966662401 - 2³ = 6966662393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6966662411) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 285256 + ... + 308713.

It is an arithmetic number, because the mean of its divisors is an integer number (897191685).

Almost surely, 2^6966662401 is an apocalyptic number.

It is an amenable number.

6966662401 is a deficient number, since it is larger than the sum of its proper divisors (210871079).

6966662401 is a wasteful number, since it uses less digits than its factorization.

6966662401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594323.

The product of its (nonzero) digits is 559872, while the sum is 46.

The square root of 6966662401 is about 83466.5346171746. The cubic root of 6966662401 is about 1909.8895617915.

The spelling of 6966662401 in words is "six billion, nine hundred sixty-six million, six hundred sixty-two thousand, four hundred one".