601720229214720 has 2880 divisors, whose sum is σ = 2747689256632320. Its totient is φ = 123517378068480.

The previous prime is 601720229214691. The next prime is 601720229214721. The reversal of 601720229214720 is 27412922027106.

601720229214720 is a `hidden beast` number, since 6 + 0 + 1 + 72 + 0 + 22 + 92 + 1 + 472 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (601720229214721) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 43732839201 + ... + 43732852959.

It is an arithmetic number, because the mean of its divisors is an integer number (954058769664).

Almost surely, 2^{601720229214720} is an apocalyptic number.

601720229214720 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 601720229214720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1373844628316160).

601720229214720 is an abundant number, since it is smaller than the sum of its proper divisors (2145969027417600).

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

601720229214720 is a wasteful number, since it uses less digits than its factorization.

601720229214720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13909 (or 13870 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 601720229214720 in words is "six hundred one trillion, seven hundred twenty billion, two hundred twenty-nine million, two hundred fourteen thousand, seven hundred twenty".