6341545800 has 72 divisors (see below), whose sum is σ = 21297030690. Its totient is φ = 1691078400.

The previous prime is 6341545753. The next prime is 6341545801. The reversal of 6341545800 is 85451436.

It is a happy number.

6341545800 is a `hidden beast` number, since 6 + 34 + 1 + 545 + 80 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 5429626596 + 911919204 = 73686^2 + 30198^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (6341545801) 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 17 ways as a sum of consecutive naturals, for example, 1759741 + ... + 1763340.

Almost surely, 2^6341545800 is an apocalyptic number.

6341545800 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6341545800 is an abundant number, since it is smaller than the sum of its proper divisors (14955484890).

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

6341545800 is a wasteful number, since it uses less digits than its factorization.

6341545800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3523103 (or 3523091 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 6341545800 is about 79633.8232160180. The cubic root of 6341545800 is about 1850.9657290468.

The spelling of 6341545800 in words is "six billion, three hundred forty-one million, five hundred forty-five thousand, eight hundred".