7872984096768 has 1680 divisors, whose sum is σ = 28897422706944. Its totient is φ = 2126976122880.

The previous prime is 7872984096713. The next prime is 7872984096781. The reversal of 7872984096768 is 8676904892787.

7872984096768 is a `hidden beast` number, since 7 + 8 + 7 + 2 + 98 + 409 + 67 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 73579290571 + ... + 73579290677.

Almost surely, 2^{7872984096768} 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 7872984096768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14448711353472).

7872984096768 is an abundant number, since it is smaller than the sum of its proper divisors (21024438610176).

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

7872984096768 is a wasteful number, since it uses less digits than its factorization.

7872984096768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 4096770048, while the sum is 81.

The spelling of 7872984096768 in words is "seven trillion, eight hundred seventy-two billion, nine hundred eighty-four million, ninety-six thousand, seven hundred sixty-eight".