8693976799872 has 768 divisors, whose sum is σ = 32961965137920. Its totient is φ = 2218929500160.

The previous prime is 8693976799829. The next prime is 8693976799889. The reversal of 8693976799872 is 2789976793968.

8693976799872 is a `hidden beast` number, since 8 + 6 + 9 + 397 + 67 + 9 + 98 + 72 = 666.

It is a nude number because it is divisible by every one of its digits.

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 95 ways as a sum of consecutive naturals, for example, 87694843 + ... + 87793925.

It is an arithmetic number, because the mean of its divisors is an integer number (42919225440).

Almost surely, 2^{8693976799872} 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 8693976799872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16480982568960).

8693976799872 is an abundant number, since it is smaller than the sum of its proper divisors (24267988338048).

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

8693976799872 is a wasteful number, since it uses less digits than its factorization.

8693976799872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99163 (or 99139 counting only the distinct ones).

The product of its digits is 31109847552, while the sum is 90.

The spelling of 8693976799872 in words is "eight trillion, six hundred ninety-three billion, nine hundred seventy-six million, seven hundred ninety-nine thousand, eight hundred seventy-two".