84417976716480 has 1792 divisors, whose sum is σ = 343993593139200. Its totient is φ = 19288819630080.

The previous prime is 84417976716449. The next prime is 84417976716497. The reversal of 84417976716480 is 8461767971448.

It is a happy number.

84417976716480 is a `hidden beast` number, since 8 + 4 + 4 + 1 + 7 + 9 + 76 + 71 + 6 + 480 = 666.

84417976716480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 84417976716399 and 84417976716408.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 77235110814 + ... + 77235111906.

Almost surely, 2^{84417976716480} is an apocalyptic number.

84417976716480 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84417976716480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171996796569600).

84417976716480 is an abundant number, since it is smaller than the sum of its proper divisors (259575616422720).

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

84417976716480 is a wasteful number, since it uses less digits than its factorization.

84417976716480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1639 (or 1623 counting only the distinct ones).

The product of its (nonzero) digits is 455196672, while the sum is 72.

The spelling of 84417976716480 in words is "eighty-four trillion, four hundred seventeen billion, nine hundred seventy-six million, seven hundred sixteen thousand, four hundred eighty".