953419668768 has 96 divisors (see below), whose sum is σ = 3178065582720. Its totient is φ = 272405617920.

The previous prime is 953419668631. The next prime is 953419668779. The reversal of 953419668768 is 867866914359.

953419668768 is a `hidden beast` number, since 9 + 534 + 1 + 9 + 6 + 6 + 87 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 953419668696 and 953419668705.

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 15 ways as a sum of consecutive naturals, for example, 78815023 + ... + 78827118.

It is an arithmetic number, because the mean of its divisors is an integer number (33104849820).

Almost surely, 2^953419668768 is an apocalyptic number.

It is an amenable number.

953419668768 is an abundant number, since it is smaller than the sum of its proper divisors (2224645913952).

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

953419668768 is a wasteful number, since it uses less digits than its factorization.

953419668768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157642167 (or 157642153 counting only the distinct ones).

The product of its digits is 470292480, while the sum is 72.

The spelling of 953419668768 in words is "nine hundred fifty-three billion, four hundred nineteen million, six hundred sixty-eight thousand, seven hundred sixty-eight".