85643671680 has 640 divisors, whose sum is σ = 370129668480. Its totient is φ = 18422857728.

The previous prime is 85643671669. The next prime is 85643671703. The reversal of 85643671680 is 8617634658.

85643671680 is a `hidden beast` number, since 8 + 564 + 3 + 6 + 71 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6162019 + ... + 6175901.

It is an arithmetic number, because the mean of its divisors is an integer number (578327607).

Almost surely, 2^85643671680 is an apocalyptic number.

85643671680 is a gapful number since it is divisible by the number (80) 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 85643671680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185064834240).

85643671680 is an abundant number, since it is smaller than the sum of its proper divisors (284485996800).

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

85643671680 is a wasteful number, since it uses less digits than its factorization.

85643671680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13938 (or 13917 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 85643671680 in words is "eighty-five billion, six hundred forty-three million, six hundred seventy-one thousand, six hundred eighty".