7872908617728 has 1152 divisors, whose sum is σ = 30122213022720. Its totient is φ = 1994637312000.

The previous prime is 7872908617711. The next prime is 7872908617747. The reversal of 7872908617728 is 8277168092787.

7872908617728 is a `hidden beast` number, since 78 + 7 + 290 + 86 + 177 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

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, 1571122743 + ... + 1571127753.

It is an arithmetic number, because the mean of its divisors is an integer number (26147754360).

Almost surely, 2^{7872908617728} 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 7872908617728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15061106511360).

7872908617728 is an abundant number, since it is smaller than the sum of its proper divisors (22249304404992).

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

7872908617728 is a wasteful number, since it uses less digits than its factorization.

7872908617728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5107 (or 5075 counting only the distinct ones).

The product of its (nonzero) digits is 265531392, while the sum is 72.

The spelling of 7872908617728 in words is "seven trillion, eight hundred seventy-two billion, nine hundred eight million, six hundred seventeen thousand, seven hundred twenty-eight".