84768686748 has 72 divisors (see below), whose sum is σ = 223720189056. Its totient is φ = 27012295200.

The previous prime is 84768686747. The next prime is 84768686749.

84768686748 is a `hidden beast` number, since 8 + 476 + 8 + 6 + 86 + 74 + 8 = 666.

84768686748 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (84768686747) and next prime (84768686749).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84768686741) 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 23 ways as a sum of consecutive naturals, for example, 1471243 + ... + 1527773.

It is an arithmetic number, because the mean of its divisors is an integer number (3107224848).

Almost surely, 2^84768686748 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 84768686748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111860094528).

84768686748 is an abundant number, since it is smaller than the sum of its proper divisors (138951502308).

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

84768686748 is a wasteful number, since it uses less digits than its factorization.

84768686748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58375 (or 58370 counting only the distinct ones).

The product of its digits is 693633024, while the sum is 72.

The spelling of 84768686748 in words is "eighty-four billion, seven hundred sixty-eight million, six hundred eighty-six thousand, seven hundred forty-eight".