84858568704 has 1088 divisors, whose sum is σ = 338226094080. Its totient is φ = 20384317440.

The previous prime is 84858568681. The next prime is 84858568727. The reversal of 84858568704 is 40786585848.

84858568704 is a `hidden beast` number, since 8 + 48 + 585 + 6 + 8 + 7 + 0 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (84858568681) and next prime (84858568727).

It is a tau number, because it is divible by the number of its divisors (1088).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2737373169 + ... + 2737373199.

Almost surely, 2^84858568704 is an apocalyptic number.

84858568704 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 84858568704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169113047040).

84858568704 is an abundant number, since it is smaller than the sum of its proper divisors (253367525376).

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

84858568704 is a wasteful number, since it uses less digits than its factorization.

84858568704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 68812800, while the sum is 63.

The spelling of 84858568704 in words is "eighty-four billion, eight hundred fifty-eight million, five hundred sixty-eight thousand, seven hundred four".