84207178960 has 40 divisors (see below), whose sum is σ = 196509554280. Its totient is φ = 33557647872.

The previous prime is 84207178949. The next prime is 84207178969. The reversal of 84207178960 is 6987170248.

It can be written as a sum of positive squares in 4 ways, for example, as 425104 + 84206753856 = 652^2 + 290184^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 84207178898 and 84207178907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84207178969) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1934967 + ... + 1978006.

It is an arithmetic number, because the mean of its divisors is an integer number (4912738857).

Almost surely, 2^84207178960 is an apocalyptic number.

84207178960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

84207178960 is an abundant number, since it is smaller than the sum of its proper divisors (112302375320).

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

84207178960 is a wasteful number, since it uses less digits than its factorization.

84207178960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3913255 (or 3913249 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 52.

The spelling of 84207178960 in words is "eighty-four billion, two hundred seven million, one hundred seventy-eight thousand, nine hundred sixty".