4680800572961 has 8 divisors (see below), whose sum is σ = 4842388564200. Its totient is φ = 4519224653440.

The previous prime is 4680800572957. The next prime is 4680800573027. The reversal of 4680800572961 is 1692750080864.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 275709006400 + 4405091566561 = 525080^2 + 2098831^2 .

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 4680800572961 - 2² = 4680800572957 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4680800572897 and 4680800572906.

It is not an unprimeable number, because it can be changed into a prime (4680800572361) 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, 2225516 + ... + 3783453.

It is an arithmetic number, because the mean of its divisors is an integer number (605298570525).

Almost surely, 2^{4680800572961} is an apocalyptic number.

It is an amenable number.

4680800572961 is a deficient number, since it is larger than the sum of its proper divisors (161587991239).

4680800572961 is a wasteful number, since it uses less digits than its factorization.

4680800572961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6035859.

The product of its (nonzero) digits is 5806080, while the sum is 56.

The spelling of 4680800572961 in words is "four trillion, six hundred eighty billion, eight hundred million, five hundred seventy-two thousand, nine hundred sixty-one".