5093064744768 has 1680 divisors, whose sum is σ = 20753478212544. Its totient is φ = 1218998108160.

The previous prime is 5093064744763. The next prime is 5093064744773. The reversal of 5093064744768 is 8674474603905.

It is a happy number.

5093064744768 is a `hidden beast` number, since 5 + 0 + 9 + 30 + 64 + 74 + 476 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (5093064744763) and next prime (5093064744773).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5093064744763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 8826801696 + ... + 8826802272.

Almost surely, 2^{5093064744768} 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 5093064744768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10376739106272).

5093064744768 is an abundant number, since it is smaller than the sum of its proper divisors (15660413467776).

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

5093064744768 is an equidigital number, since it uses as much as digits as its factorization.

5093064744768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654 (or 613 counting only the distinct ones).

The product of its (nonzero) digits is 121927680, while the sum is 63.

The spelling of 5093064744768 in words is "five trillion, ninety-three billion, sixty-four million, seven hundred forty-four thousand, seven hundred sixty-eight".