601435304064 has 256 divisors, whose sum is σ = 2098606752000. Its totient is φ = 165912993792.

The previous prime is 601435304051. The next prime is 601435304069. The reversal of 601435304064 is 460403534106.

601435304064 is a `hidden beast` number, since 60 + 1 + 4 + 3 + 530 + 4 + 0 + 64 = 666.

It is a super-2 number, since 2×601435304064² (a number of 24 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (601435304069) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 272932 + ... + 1130204.

It is an arithmetic number, because the mean of its divisors is an integer number (8197682625).

Almost surely, 2^601435304064 is an apocalyptic number.

601435304064 is a gapful number since it is divisible by the number (64) 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 601435304064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1049303376000).

601435304064 is an abundant number, since it is smaller than the sum of its proper divisors (1497171447936).

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

601435304064 is a wasteful number, since it uses less digits than its factorization.

601435304064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 857332 (or 857314 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 601435304064 in words is "six hundred one billion, four hundred thirty-five million, three hundred four thousand, sixty-four".