5906834938368 has 1600 divisors, whose sum is σ = 23184536094720. Its totient is φ = 1454771404800.

The previous prime is 5906834938327. The next prime is 5906834938379. The reversal of 5906834938368 is 8638394386095.

5906834938368 is a `hidden beast` number, since 5 + 90 + 68 + 3 + 49 + 383 + 68 = 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 = 5906834938296 and 5906834938305.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3392781978 + ... + 3392783718.

Almost surely, 2^{5906834938368} is an apocalyptic number.

5906834938368 is a gapful number since it is divisible by the number (58) 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 5906834938368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11592268047360).

5906834938368 is an abundant number, since it is smaller than the sum of its proper divisors (17277701156352).

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

5906834938368 is a wasteful number, since it uses less digits than its factorization.

5906834938368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1851 (or 1826 counting only the distinct ones).

The product of its (nonzero) digits is 806215680, while the sum is 72.

The spelling of 5906834938368 in words is "five trillion, nine hundred six billion, eight hundred thirty-four million, nine hundred thirty-eight thousand, three hundred sixty-eight".