86643406080 has 720 divisors, whose sum is σ = 386561476224. Its totient is φ = 18002165760.

The previous prime is 86643406079. The next prime is 86643406081. The reversal of 86643406080 is 8060434668.

86643406080 is a `hidden beast` number, since 8 + 6 + 6 + 4 + 34 + 0 + 608 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (86643406079) and next prime (86643406081).

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86643406081) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7977934 + ... + 7988786.

Almost surely, 2^86643406080 is an apocalyptic number.

86643406080 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 86643406080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193280738112).

86643406080 is an abundant number, since it is smaller than the sum of its proper divisors (299918070144).

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

86643406080 is a wasteful number, since it uses less digits than its factorization.

86643406080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10904 (or 10881 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 86643406080 in words is "eighty-six billion, six hundred forty-three million, four hundred six thousand, eighty".