601632301600 has 288 divisors, whose sum is σ = 1669198164480. Its totient is φ = 209765376000.

The previous prime is 601632301591. The next prime is 601632301603. The reversal of 601632301600 is 6103236106.

It is a super-2 number, since 2×601632301600² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (601632301603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29725084 + ... + 29745316.

It is an arithmetic number, because the mean of its divisors is an integer number (5795826960).

Almost surely, 2^601632301600 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 601632301600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (834599082240).

601632301600 is an abundant number, since it is smaller than the sum of its proper divisors (1067565862880).

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

601632301600 is a wasteful number, since it uses less digits than its factorization.

601632301600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20404 (or 20391 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 28.

Adding to 601632301600 its reverse (6103236106), we get a palindrome (607735537706).

The spelling of 601632301600 in words is "six hundred one billion, six hundred thirty-two million, three hundred one thousand, six hundred".