606341030400 has 960 divisors, whose sum is σ = 2592043027200. Its totient is φ = 135948533760.

The previous prime is 606341030381. The next prime is 606341030413. The reversal of 606341030400 is 4030143606.

606341030400 is a `hidden beast` number, since 606 + 3 + 4 + 10 + 3 + 0 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 128215236 + ... + 128219964.

It is an arithmetic number, because the mean of its divisors is an integer number (2700044820).

Almost surely, 2^606341030400 is an apocalyptic number.

606341030400 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 606341030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1296021513600).

606341030400 is an abundant number, since it is smaller than the sum of its proper divisors (1985701996800).

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

606341030400 is a wasteful number, since it uses less digits than its factorization.

606341030400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4826 (or 4799 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The spelling of 606341030400 in words is "six hundred six billion, three hundred forty-one million, thirty thousand, four hundred".