84771680000 has 180 divisors, whose sum is σ = 241657582320. Its totient is φ = 29064192000.

The previous prime is 84771679999. The next prime is 84771680009. The reversal of 84771680000 is 8617748.

It is a self number, because there is not a number n which added to its sum of digits gives 84771680000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84771680009) 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 19 ways as a sum of consecutive naturals, for example, 1082156 + ... + 1157844.

It is an arithmetic number, because the mean of its divisors is an integer number (1342542124).

Almost surely, 2^84771680000 is an apocalyptic number.

84771680000 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 84771680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120828791160).

84771680000 is an abundant number, since it is smaller than the sum of its proper divisors (156885902320).

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

84771680000 is an frugal number, since it uses more digits than its factorization.

84771680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75732 (or 75703 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 41.

It can be divided in two parts, 847 and 71680000, that multiplied together give a square (60712960000 = 246400²).

The spelling of 84771680000 in words is "eighty-four billion, seven hundred seventy-one million, six hundred eighty thousand".