8402075136 has 320 divisors, whose sum is σ = 30614707200. Its totient is φ = 2215600128.

The previous prime is 8402075119. The next prime is 8402075137. The reversal of 8402075136 is 6315702048.

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

It is a self number, because there is not a number n which added to its sum of digits gives 8402075136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8402075137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1254645 + ... + 1261323.

It is an arithmetic number, because the mean of its divisors is an integer number (95670960).

Almost surely, 2^8402075136 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 8402075136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15307353600).

8402075136 is an abundant number, since it is smaller than the sum of its proper divisors (22212632064).

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

8402075136 is a wasteful number, since it uses less digits than its factorization.

8402075136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6726 (or 6704 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 8402075136 is about 91662.8339950277. The cubic root of 8402075136 is about 2032.9600935513.

The spelling of 8402075136 in words is "eight billion, four hundred two million, seventy-five thousand, one hundred thirty-six".