6406184561868 has 768 divisors, whose sum is σ = 21261667553280. Its totient is φ = 1623230668800.

The previous prime is 6406184561863. The next prime is 6406184561947. The reversal of 6406184561868 is 8681654816046.

6406184561868 is a `hidden beast` number, since 6 + 4 + 0 + 6 + 1 + 8 + 4 + 5 + 618 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (6406184561863) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 8287431130 + ... + 8287431902.

It is an arithmetic number, because the mean of its divisors is an integer number (27684462960).

Almost surely, 2^{6406184561868} 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 6406184561868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10630833776640).

6406184561868 is an abundant number, since it is smaller than the sum of its proper divisors (14855482991412).

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

6406184561868 is a wasteful number, since it uses less digits than its factorization.

6406184561868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1135 (or 1127 counting only the distinct ones).

The product of its (nonzero) digits is 53084160, while the sum is 63.

The spelling of 6406184561868 in words is "six trillion, four hundred six billion, one hundred eighty-four million, five hundred sixty-one thousand, eight hundred sixty-eight".