601997598720 has 1680 divisors, whose sum is σ = 2630965629600. Its totient is φ = 131616866304.

The previous prime is 601997598703. The next prime is 601997598731. The reversal of 601997598720 is 27895799106.

601997598720 is a `hidden beast` number, since 6 + 0 + 19 + 9 + 7 + 598 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a super-2 number, since 2×601997598720² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 26173808629 + ... + 26173808651.

It is an arithmetic number, because the mean of its divisors is an integer number (1566050970).

Almost surely, 2^601997598720 is an apocalyptic number.

601997598720 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 601997598720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1315482814800).

601997598720 is an abundant number, since it is smaller than the sum of its proper divisors (2028968030880).

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

601997598720 is an frugal number, since it uses more digits than its factorization.

601997598720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 17146080, while the sum is 63.

The spelling of 601997598720 in words is "six hundred one billion, nine hundred ninety-seven million, five hundred ninety-eight thousand, seven hundred twenty".