6406324000 has 96 divisors (see below), whose sum is σ = 15769143936. Its totient is φ = 2557843200.

The previous prime is 6406323983. The next prime is 6406324007. The reversal of 6406324000 is 4236046.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (6406324007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2906899 + ... + 2909101.

It is an arithmetic number, because the mean of its divisors is an integer number (164261916).

Almost surely, 2^6406324000 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 6406324000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7884571968).

6406324000 is an abundant number, since it is smaller than the sum of its proper divisors (9362819936).

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

6406324000 is a wasteful number, since it uses less digits than its factorization.

6406324000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2955 (or 2937 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

The square root of 6406324000 is about 80039.5152409108. The cubic root of 6406324000 is about 1857.2468614620.

The spelling of 6406324000 in words is "six billion, four hundred six million, three hundred twenty-four thousand".