84129366420 has 1152 divisors, whose sum is σ = 330119193600. Its totient is φ = 17663754240.

The previous prime is 84129366413. The next prime is 84129366421. The reversal of 84129366420 is 2466392148.

84129366420 is a `hidden beast` number, since 84 + 1 + 2 + 93 + 66 + 420 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84129366421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 945273736 + ... + 945273824.

It is an arithmetic number, because the mean of its divisors is an integer number (286561800).

Almost surely, 2^84129366420 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 84129366420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165059596800).

84129366420 is an abundant number, since it is smaller than the sum of its proper divisors (245989827180).

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

84129366420 is a wasteful number, since it uses less digits than its factorization.

84129366420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

It can be divided in two parts, 8412936 and 6420, that added together give a triangular number (8419356 = T₄₁₀₃).

The spelling of 84129366420 in words is "eighty-four billion, one hundred twenty-nine million, three hundred sixty-six thousand, four hundred twenty".