84346810768 has 80 divisors (see below), whose sum is σ = 190497985920. Its totient is φ = 35753011200.

The previous prime is 84346810763. The next prime is 84346810799. The reversal of 84346810768 is 86701864348.

It is a super-2 number, since 2×84346810768² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (84346810763) 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 15 ways as a sum of consecutive naturals, for example, 196813 + ... + 455443.

It is an arithmetic number, because the mean of its divisors is an integer number (2381224824).

Almost surely, 2^84346810768 is an apocalyptic number.

84346810768 is a gapful number since it is divisible by the number (88) 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 84346810768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95248992960).

84346810768 is an abundant number, since it is smaller than the sum of its proper divisors (106151175152).

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

84346810768 is a wasteful number, since it uses less digits than its factorization.

84346810768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258776 (or 258770 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 55.

The spelling of 84346810768 in words is "eighty-four billion, three hundred forty-six million, eight hundred ten thousand, seven hundred sixty-eight".