8136344160 has 1152 divisors, whose sum is σ = 37134720000. Its totient is φ = 1658216448.

The previous prime is 8136344149. The next prime is 8136344173. The reversal of 8136344160 is 614436318.

It is a happy number.

8136344160 is a `hidden beast` number, since 8 + 1 + 3 + 634 + 4 + 16 + 0 = 666.

It is a super-2 number, since 2×8136344160² (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 congruent number.

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, 428228631 + ... + 428228649.

It is an arithmetic number, because the mean of its divisors is an integer number (32235000).

Almost surely, 2^8136344160 is an apocalyptic number.

8136344160 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 8136344160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18567360000).

8136344160 is an abundant number, since it is smaller than the sum of its proper divisors (28998375840).

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

8136344160 is a wasteful number, since it uses less digits than its factorization.

8136344160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 8136344160 is about 90201.6860152847. The cubic root of 8136344160 is about 2011.2980699611.

The spelling of 8136344160 in words is "eight billion, one hundred thirty-six million, three hundred forty-four thousand, one hundred sixty".