601879813971264 has 672 divisors, whose sum is σ = 1922035801620480. Its totient is φ = 179221629210624.

The previous prime is 601879813971229. The next prime is 601879813971329. The reversal of 601879813971264 is 462179318978106.

601879813971264 is a `hidden beast` number, since 6 + 0 + 1 + 87 + 98 + 1 + 397 + 12 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 601879813971192 and 601879813971201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5018825607 + ... + 5018945529.

It is an arithmetic number, because the mean of its divisors is an integer number (2860172323840).

Almost surely, 2^{601879813971264} is an apocalyptic number.

601879813971264 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 601879813971264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (961017900810240).

601879813971264 is an abundant number, since it is smaller than the sum of its proper divisors (1320155987649216).

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

601879813971264 is a wasteful number, since it uses less digits than its factorization.

601879813971264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120267 (or 120254 counting only the distinct ones).

The product of its (nonzero) digits is 219469824, while the sum is 72.

The spelling of 601879813971264 in words is "six hundred one trillion, eight hundred seventy-nine billion, eight hundred thirteen million, nine hundred seventy-one thousand, two hundred sixty-four".