84387546768 has 240 divisors, whose sum is σ = 268167836160. Its totient is φ = 22763059200.

The previous prime is 84387546709. The next prime is 84387546769. The reversal of 84387546768 is 86764578348.

It is a junction number, because it is equal to n+sod(n) for n = 84387546699 and 84387546708.

It is not an unprimeable number, because it can be changed into a prime (84387546769) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2975278 + ... + 3003506.

It is an arithmetic number, because the mean of its divisors is an integer number (1117365984).

Almost surely, 2^84387546768 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 84387546768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134083918080).

84387546768 is an abundant number, since it is smaller than the sum of its proper divisors (183780289392).

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

84387546768 is a wasteful number, since it uses less digits than its factorization.

84387546768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28326 (or 28313 counting only the distinct ones).

The product of its digits is 216760320, while the sum is 66.

The spelling of 84387546768 in words is "eighty-four billion, three hundred eighty-seven million, five hundred forty-six thousand, seven hundred sixty-eight".