601334226720 has 216 divisors, whose sum is σ = 2058720034644. Its totient is φ = 159836479488.

The previous prime is 601334226719. The next prime is 601334226781. The reversal of 601334226720 is 27622433106.

601334226720 is a `hidden beast` number, since 60 + 1 + 334 + 2 + 267 + 2 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 211463861904 + 389870364816 = 459852^2 + 624396^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 163537522 + ... + 163541198.

Almost surely, 2^601334226720 is an apocalyptic number.

601334226720 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 601334226720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1029360017322).

601334226720 is an abundant number, since it is smaller than the sum of its proper divisors (1457385807924).

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

601334226720 is a wasteful number, since it uses less digits than its factorization.

601334226720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4372 (or 4024 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

Adding to 601334226720 its reverse (27622433106), we get a palindrome (628956659826).

The spelling of 601334226720 in words is "six hundred one billion, three hundred thirty-four million, two hundred twenty-six thousand, seven hundred twenty".