952784779968 has 448 divisors, whose sum is σ = 3344052971520. Its totient is φ = 260098781184.

The previous prime is 952784779943. The next prime is 952784779987. The reversal of 952784779968 is 869977487259.

952784779968 is a `hidden beast` number, since 9 + 52 + 7 + 8 + 477 + 9 + 96 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 404235046 + ... + 404237402.

Almost surely, 2^952784779968 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 952784779968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1672026485760).

952784779968 is an abundant number, since it is smaller than the sum of its proper divisors (2391268191552).

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

952784779968 is a wasteful number, since it uses less digits than its factorization.

952784779968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3861 (or 3845 counting only the distinct ones).

The product of its digits is 3840721920, while the sum is 81.

The spelling of 952784779968 in words is "nine hundred fifty-two billion, seven hundred eighty-four million, seven hundred seventy-nine thousand, nine hundred sixty-eight".