5275603464768 has 1008 divisors, whose sum is σ = 19633713555456. Its totient is φ = 1341041909760.

The previous prime is 5275603464697. The next prime is 5275603464793. The reversal of 5275603464768 is 8674643065725.

It is a happy number.

5275603464768 is a `hidden beast` number, since 5 + 2 + 7 + 560 + 3 + 4 + 6 + 4 + 7 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 3332660905 + ... + 3332662487.

It is an arithmetic number, because the mean of its divisors is an integer number (19477890432).

Almost surely, 2^{5275603464768} 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 5275603464768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9816856777728).

5275603464768 is an abundant number, since it is smaller than the sum of its proper divisors (14358110090688).

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

5275603464768 is a wasteful number, since it uses less digits than its factorization.

5275603464768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1952 (or 1932 counting only the distinct ones).

The product of its (nonzero) digits is 203212800, while the sum is 63.

The spelling of 5275603464768 in words is "five trillion, two hundred seventy-five billion, six hundred three million, four hundred sixty-four thousand, seven hundred sixty-eight".