4967776961 has 8 divisors (see below), whose sum is σ = 5706877824. Its totient is φ = 4236030720.

The previous prime is 4967776949. The next prime is 4967777033. The reversal of 4967776961 is 1696777694.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-4967776961 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 4967776894 and 4967776903.

It is not an unprimeable number, because it can be changed into a prime (4967776901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1837205 + ... + 1839906.

It is an arithmetic number, because the mean of its divisors is an integer number (713359728).

Almost surely, 2^4967776961 is an apocalyptic number.

It is an amenable number.

4967776961 is a deficient number, since it is larger than the sum of its proper divisors (739100863).

4967776961 is a wasteful number, since it uses less digits than its factorization.

4967776961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3677311.

The product of its digits is 24004512, while the sum is 62.

The square root of 4967776961 is about 70482.4585340211. The cubic root of 4967776961 is about 1706.2946523739.

The spelling of 4967776961 in words is "four billion, nine hundred sixty-seven million, seven hundred seventy-six thousand, nine hundred sixty-one".