601938320640 has 144 divisors (see below), whose sum is σ = 1930102727616. Its totient is φ = 159877120000.

The previous prime is 601938320597. The next prime is 601938320651. The reversal of 601938320640 is 46023839106.

It is a junction number, because it is equal to n+sod(n) for n = 601938320592 and 601938320601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 651580 + ... + 1276100.

It is an arithmetic number, because the mean of its divisors is an integer number (13403491164).

Almost surely, 2^601938320640 is an apocalyptic number.

601938320640 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 601938320640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (965051363808).

601938320640 is an abundant number, since it is smaller than the sum of its proper divisors (1328164406976).

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

601938320640 is a wasteful number, since it uses less digits than its factorization.

601938320640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624796 (or 624782 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The spelling of 601938320640 in words is "six hundred one billion, nine hundred thirty-eight million, three hundred twenty thousand, six hundred forty".