806186679480 has 384 divisors, whose sum is σ = 3364956241920. Its totient is φ = 162700876800.

The previous prime is 806186679461. The next prime is 806186679527. The reversal of 806186679480 is 84976681608.

806186679480 is a `hidden beast` number, since 8 + 0 + 6 + 1 + 86 + 6 + 79 + 480 = 666.

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 (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 218505 + ... + 1288455.

It is an arithmetic number, because the mean of its divisors is an integer number (8762906880).

Almost surely, 2^806186679480 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 806186679480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1682478120960).

806186679480 is an abundant number, since it is smaller than the sum of its proper divisors (2558769562440).

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

806186679480 is a wasteful number, since it uses less digits than its factorization.

806186679480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1070011 (or 1070004 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 806186679480 in words is "eight hundred six billion, one hundred eighty-six million, six hundred seventy-nine thousand, four hundred eighty".