5978964961 has 8 divisors (see below), whose sum is σ = 6078341024. Its totient is φ = 5879887200.

The previous prime is 5978964913. The next prime is 5978964983. The reversal of 5978964961 is 1694698795.

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 5978964961 - 2⁹ = 5978964449 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 5978964893 and 5978964902.

It is not an unprimeable number, because it can be changed into a prime (5978964911) 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, 33975 + ... + 114508.

It is an arithmetic number, because the mean of its divisors is an integer number (759792628).

Almost surely, 2^5978964961 is an apocalyptic number.

It is an amenable number.

5978964961 is a deficient number, since it is larger than the sum of its proper divisors (99376063).

5978964961 is a wasteful number, since it uses less digits than its factorization.

5978964961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149151.

The product of its digits is 29393280, while the sum is 64.

The square root of 5978964961 is about 77323.7671159392. The cubic root of 5978964961 is about 1814.9945951719.

It can be divided in two parts, 59789 and 64961, that added together give a triangular number (124750 = T₄₉₉).

The spelling of 5978964961 in words is "five billion, nine hundred seventy-eight million, nine hundred sixty-four thousand, nine hundred sixty-one".