6417345000 has 640 divisors, whose sum is σ = 24292224000. Its totient is φ = 1393920000.

The previous prime is 6417344971. The next prime is 6417345007. The reversal of 6417345000 is 5437146.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (6417345007) 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 159 ways as a sum of consecutive naturals, for example, 72104956 + ... + 72105044.

It is an arithmetic number, because the mean of its divisors is an integer number (37956600).

Almost surely, 2^6417345000 is an apocalyptic number.

6417345000 is a gapful number since it is divisible by the number (60) 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 6417345000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12146112000).

6417345000 is an abundant number, since it is smaller than the sum of its proper divisors (17874879000).

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

6417345000 is a wasteful number, since it uses less digits than its factorization.

6417345000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 6417345000 is about 80108.3328998925. The cubic root of 6417345000 is about 1858.3112779774.

The spelling of 6417345000 in words is "six billion, four hundred seventeen million, three hundred forty-five thousand".