8186036040 has 768 divisors, whose sum is σ = 34864300800. Its totient is φ = 1693052928.

The previous prime is 8186036039. The next prime is 8186036051. The reversal of 8186036040 is 406306818.

It is a happy number.

8186036040 is a `hidden beast` number, since 8 + 1 + 8 + 603 + 6 + 0 + 40 = 666.

It is a super-2 number, since 2×8186036040² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 8186035986 and 8186036004.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 50220999 + ... + 50221161.

It is an arithmetic number, because the mean of its divisors is an integer number (45396225).

Almost surely, 2^8186036040 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 8186036040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17432150400).

8186036040 is an abundant number, since it is smaller than the sum of its proper divisors (26678264760).

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

8186036040 is a wasteful number, since it uses less digits than its factorization.

8186036040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 8186036040 is about 90476.7154576248. The cubic root of 8186036040 is about 2015.3843606283.

The spelling of 8186036040 in words is "eight billion, one hundred eighty-six million, thirty-six thousand, forty".