8434378567872 has 84 divisors (see below), whose sum is σ = 24178457418960. Its totient is φ = 2811129933312.

The previous prime is 8434378567861. The next prime is 8434378567889. The reversal of 8434378567872 is 2787658734348.

8434378567872 is a `hidden beast` number, since 8 + 4 + 3 + 437 + 8 + 56 + 78 + 72 = 666.

It is a super-3 number, since 3×8434378567872³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a self number, because there is not a number n which added to its sum of digits gives 8434378567872.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4084029 + ... + 5792067.

Almost surely, 2^{8434378567872} is an apocalyptic number.

It is an amenable number.

8434378567872 is an abundant number, since it is smaller than the sum of its proper divisors (15744078851088).

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

8434378567872 is a wasteful number, since it uses less digits than its factorization.

8434378567872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1716630 (or 1716617 counting only the distinct ones).

The product of its digits is 1517322240, while the sum is 72.

The spelling of 8434378567872 in words is "eight trillion, four hundred thirty-four billion, three hundred seventy-eight million, five hundred sixty-seven thousand, eight hundred seventy-two".