6405227136 has 384 divisors, whose sum is σ = 23172963840. Its totient is φ = 1649756160.

The previous prime is 6405227063. The next prime is 6405227141. The reversal of 6405227136 is 6317225046.

6405227136 is a `hidden beast` number, since 64 + 0 + 522 + 71 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 6405227136.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14458531 + ... + 14458973.

It is an arithmetic number, because the mean of its divisors is an integer number (60346260).

Almost surely, 2^6405227136 is an apocalyptic number.

6405227136 is a gapful number since it is divisible by the number (66) 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 6405227136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11586481920).

6405227136 is an abundant number, since it is smaller than the sum of its proper divisors (16767736704).

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

6405227136 is a wasteful number, since it uses less digits than its factorization.

6405227136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 6405227136 is about 80032.6629320804. The cubic root of 6405227136 is about 1857.1408587321.

The spelling of 6405227136 in words is "six billion, four hundred five million, two hundred twenty-seven thousand, one hundred thirty-six".