84688480800 has 1080 divisors, whose sum is σ = 388218777408. Its totient is φ = 17586201600.

The previous prime is 84688480771. The next prime is 84688480801. The reversal of 84688480800 is 808488648.

84688480800 is a `hidden beast` number, since 8 + 4 + 6 + 88 + 480 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

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

It is not an unprimeable number, because it can be changed into a prime (84688480801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 54884829 + ... + 54886371.

Almost surely, 2^84688480800 is an apocalyptic number.

84688480800 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 84688480800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194109388704).

84688480800 is an abundant number, since it is smaller than the sum of its proper divisors (303530296608).

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

84688480800 is a wasteful number, since it uses less digits than its factorization.

84688480800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1604 (or 1571 counting only the distinct ones).

The product of its (nonzero) digits is 3145728, while the sum is 54.

The spelling of 84688480800 in words is "eighty-four billion, six hundred eighty-eight million, four hundred eighty thousand, eight hundred".