84466780560 has 280 divisors, whose sum is σ = 307249959744. Its totient is φ = 21544807680.

The previous prime is 84466780511. The next prime is 84466780571. The reversal of 84466780560 is 6508766448.

84466780560 is a `hidden beast` number, since 8 + 4 + 4 + 6 + 6 + 78 + 0 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 84466780497 and 84466780506.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1309875 + ... + 1372845.

Almost surely, 2^84466780560 is an apocalyptic number.

84466780560 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 84466780560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153624979872).

84466780560 is an abundant number, since it is smaller than the sum of its proper divisors (222783179184).

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

84466780560 is a wasteful number, since it uses less digits than its factorization.

84466780560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63025 (or 63004 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 84466780560 in words is "eighty-four billion, four hundred sixty-six million, seven hundred eighty thousand, five hundred sixty".