601322801664 has 160 divisors (see below), whose sum is σ = 1727845035840. Its totient is φ = 184737595392.

The previous prime is 601322801647. The next prime is 601322801683. The reversal of 601322801664 is 466108223106.

It is a super-3 number, since 3×601322801664³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13136064 + ... + 13181760.

It is an arithmetic number, because the mean of its divisors is an integer number (10799031474).

Almost surely, 2^601322801664 is an apocalyptic number.

601322801664 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 601322801664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (863922517920).

601322801664 is an abundant number, since it is smaller than the sum of its proper divisors (1126522234176).

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

601322801664 is a wasteful number, since it uses less digits than its factorization.

601322801664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46390 (or 46374 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The spelling of 601322801664 in words is "six hundred one billion, three hundred twenty-two million, eight hundred one thousand, six hundred sixty-four".