42968606976 has 288 divisors, whose sum is σ = 132281139200. Its totient is φ = 13742991360.

The previous prime is 42968606971. The next prime is 42968606977. The reversal of 42968606976 is 67960686924.

42968606976 is a `hidden beast` number, since 429 + 6 + 86 + 0 + 69 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (42968606971) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27211755 + ... + 27213333.

Almost surely, 2^42968606976 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42968606976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66140569600).

42968606976 is an abundant number, since it is smaller than the sum of its proper divisors (89312532224).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42968606976 is a wasteful number, since it uses less digits than its factorization.

42968606976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1762 (or 1742 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 42968606976 in words is "forty-two billion, nine hundred sixty-eight million, six hundred six thousand, nine hundred seventy-six".