86768234784 has 288 divisors, whose sum is σ = 318243219840. Its totient is φ = 21759897600.

The previous prime is 86768234741. The next prime is 86768234801. The reversal of 86768234784 is 48743286768.

86768234784 is a `hidden beast` number, since 86 + 7 + 6 + 82 + 3 + 478 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 575644 + ... + 710564.

It is an arithmetic number, because the mean of its divisors is an integer number (1105011180).

Almost surely, 2^86768234784 is an apocalyptic number.

86768234784 is a gapful number since it is divisible by the number (84) 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 86768234784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159121609920).

86768234784 is an abundant number, since it is smaller than the sum of its proper divisors (231474985056).

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

86768234784 is a wasteful number, since it uses less digits than its factorization.

86768234784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134984 (or 134973 counting only the distinct ones).

The product of its digits is 86704128, while the sum is 63.

The spelling of 86768234784 in words is "eighty-six billion, seven hundred sixty-eight million, two hundred thirty-four thousand, seven hundred eighty-four".