601956384480 has 576 divisors, whose sum is σ = 2279038664448. Its totient is φ = 143464366080.

The previous prime is 601956384473. The next prime is 601956384539. The reversal of 601956384480 is 84483659106.

601956384480 is a `hidden beast` number, since 6 + 0 + 195 + 6 + 3 + 8 + 448 + 0 = 666.

601956384480 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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, 298440432 + ... + 298442448.

It is an arithmetic number, because the mean of its divisors is an integer number (3956664348).

Almost surely, 2^601956384480 is an apocalyptic number.

601956384480 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 601956384480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1139519332224).

601956384480 is an abundant number, since it is smaller than the sum of its proper divisors (1677082279968).

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

601956384480 is a wasteful number, since it uses less digits than its factorization.

601956384480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2359 (or 2348 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 601956384480 in words is "six hundred one billion, nine hundred fifty-six million, three hundred eighty-four thousand, four hundred eighty".