5008827694464 has 768 divisors, whose sum is σ = 16923595852800. Its totient is φ = 1461221130240.

The previous prime is 5008827694457. The next prime is 5008827694483. The reversal of 5008827694464 is 4644967288005.

5008827694464 is a `hidden beast` number, since 5 + 0 + 0 + 8 + 82 + 7 + 6 + 94 + 464 = 666.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 1227952777 + ... + 1227956855.

It is an arithmetic number, because the mean of its divisors is an integer number (22035932100).

Almost surely, 2^{5008827694464} is an apocalyptic number.

5008827694464 is a gapful number since it is divisible by the number (54) 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 5008827694464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8461797926400).

5008827694464 is an abundant number, since it is smaller than the sum of its proper divisors (11914768158336).

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

5008827694464 is a wasteful number, since it uses less digits than its factorization.

5008827694464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4253 (or 4229 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 63.

The spelling of 5008827694464 in words is "five trillion, eight billion, eight hundred twenty-seven million, six hundred ninety-four thousand, four hundred sixty-four".