5127214464 has 224 divisors, whose sum is σ = 15987092400. Its totient is φ = 1634079744.

The previous prime is 5127214459. The next prime is 5127214481. The reversal of 5127214464 is 4644127215.

5127214464 is a `hidden beast` number, since 512 + 72 + 14 + 4 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 2144982 + ... + 2147370.

Almost surely, 2^5127214464 is an apocalyptic number.

5127214464 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 5127214464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7993546200).

5127214464 is an abundant number, since it is smaller than the sum of its proper divisors (10859877936).

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

5127214464 is an equidigital number, since it uses as much as digits as its factorization.

5127214464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2444 (or 2417 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 5127214464 is about 71604.5701334768. The cubic root of 5127214464 is about 1724.3569081068.

The spelling of 5127214464 in words is "five billion, one hundred twenty-seven million, two hundred fourteen thousand, four hundred sixty-four".