9672017978401 has 8 divisors (see below), whose sum is σ = 9707423792360. Its totient is φ = 9636615681408.

The previous prime is 9672017978351. The next prime is 9672017978411. The reversal of 9672017978401 is 1048797102769.

It can be written as a sum of positive squares in 4 ways, for example, as 14069518225 + 9657948460176 = 118615^2 + 3107724^2 .

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 9672017978401 - 2²¹ = 9672015881249 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 9672017978401.

It is not an unprimeable number, because it can be changed into a prime (9672017978411) 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, 4695595 + ... + 6433711.

It is an arithmetic number, because the mean of its divisors is an integer number (1213427974045).

Almost surely, 2^{9672017978401} is an apocalyptic number.

It is an amenable number.

9672017978401 is a deficient number, since it is larger than the sum of its proper divisors (35405813959).

9672017978401 is a wasteful number, since it uses less digits than its factorization.

9672017978401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1758483.

The product of its (nonzero) digits is 10668672, while the sum is 61.

The spelling of 9672017978401 in words is "nine trillion, six hundred seventy-two billion, seventeen million, nine hundred seventy-eight thousand, four hundred one".