86707630080 has 624 divisors, whose sum is σ = 318140536896. Its totient is φ = 21799895040.

The previous prime is 86707630067. The next prime is 86707630109. The reversal of 86707630080 is 8003670768.

86707630080 is a `hidden beast` number, since 8 + 6 + 7 + 0 + 7 + 630 + 0 + 8 + 0 = 666.

It is a super-2 number, since 2×86707630080² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 479047590 + ... + 479047770.

It is an arithmetic number, because the mean of its divisors is an integer number (509840604).

Almost surely, 2^86707630080 is an apocalyptic number.

86707630080 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 86707630080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159070268448).

86707630080 is an abundant number, since it is smaller than the sum of its proper divisors (231432906816).

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

86707630080 is a wasteful number, since it uses less digits than its factorization.

86707630080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 86707630080 in words is "eighty-six billion, seven hundred seven million, six hundred thirty thousand, eighty".