601259406720 has 256 divisors, whose sum is σ = 2198643194880. Its totient is φ = 136907366400.

The previous prime is 601259406707. The next prime is 601259406757. The reversal of 601259406720 is 27604952106.

601259406720 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×601259406720³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3449670 + ... + 3619770.

It is an arithmetic number, because the mean of its divisors is an integer number (8588449980).

Almost surely, 2^601259406720 is an apocalyptic number.

601259406720 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 601259406720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1099321597440).

601259406720 is an abundant number, since it is smaller than the sum of its proper divisors (1597383788160).

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

601259406720 is a wasteful number, since it uses less digits than its factorization.

601259406720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170393 (or 170381 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 601259406720 in words is "six hundred one billion, two hundred fifty-nine million, four hundred six thousand, seven hundred twenty".