7128717672960 has 1120 divisors, whose sum is σ = 27820944220608. Its totient is φ = 1740589793280.

The previous prime is 7128717672949. The next prime is 7128717672983. The reversal of 7128717672960 is 692767178217.

7128717672960 is a `hidden beast` number, since 7 + 1 + 287 + 1 + 7 + 67 + 296 + 0 = 666.

It is a super-3 number, since 3×7128717672960³ (a number of 40 digits) contains 333 as substring.

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 111 ways as a sum of consecutive naturals, for example, 3178205599 + ... + 3178207841.

Almost surely, 2^{7128717672960} 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 7128717672960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13910472110304).

7128717672960 is an abundant number, since it is smaller than the sum of its proper divisors (20692226547648).

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

7128717672960 is a wasteful number, since it uses less digits than its factorization.

7128717672960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2428 (or 2397 counting only the distinct ones).

The product of its (nonzero) digits is 24893568, while the sum is 63.

The spelling of 7128717672960 in words is "seven trillion, one hundred twenty-eight billion, seven hundred seventeen million, six hundred seventy-two thousand, nine hundred sixty".