5938709736960 has 5040 divisors, whose sum is σ = 30679980918048. Its totient is φ = 1072087695360.

The previous prime is 5938709736941. The next prime is 5938709737019. The reversal of 5938709736960 is 696379078395.

5938709736960 is a `hidden beast` number, since 59 + 3 + 8 + 70 + 97 + 369 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (5040).

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 503 ways as a sum of consecutive naturals, for example, 349335866872 + ... + 349335866888.

Almost surely, 2^{5938709736960} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5938709736960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15339990459024).

5938709736960 is an abundant number, since it is smaller than the sum of its proper divisors (24741271181088).

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

5938709736960 is a wasteful number, since it uses less digits than its factorization.

5938709736960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 462944160, while the sum is 72.

The spelling of 5938709736960 in words is "five trillion, nine hundred thirty-eight billion, seven hundred nine million, seven hundred thirty-six thousand, nine hundred sixty".