8186409840 has 640 divisors, whose sum is σ = 32308789248. Its totient is φ = 1672151040.

The previous prime is 8186409817. The next prime is 8186409883. The reversal of 8186409840 is 489046818.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 8186409840.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 64459857 + ... + 64459983.

Almost surely, 2^8186409840 is an apocalyptic number.

8186409840 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 8186409840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16154394624).

8186409840 is an abundant number, since it is smaller than the sum of its proper divisors (24122379408).

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

8186409840 is a wasteful number, since it uses less digits than its factorization.

8186409840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 48.

The square root of 8186409840 is about 90478.7811588993. The cubic root of 8186409840 is about 2015.4150364118.

The spelling of 8186409840 in words is "eight billion, one hundred eighty-six million, four hundred nine thousand, eight hundred forty".