6517678752 has 144 divisors (see below), whose sum is σ = 20385630720. Its totient is φ = 1962717696.

The previous prime is 6517678721. The next prime is 6517678771. The reversal of 6517678752 is 2578767156.

It is a happy number.

6517678752 is a `hidden beast` number, since 6 + 517 + 6 + 78 + 7 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 157449 + ... + 194487.

It is an arithmetic number, because the mean of its divisors is an integer number (141566880).

Almost surely, 2^6517678752 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 6517678752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10192815360).

6517678752 is an abundant number, since it is smaller than the sum of its proper divisors (13867951968).

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

6517678752 is a wasteful number, since it uses less digits than its factorization.

6517678752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37115 (or 37104 counting only the distinct ones).

The product of its digits is 4939200, while the sum is 54.

The square root of 6517678752 is about 80732.1420005688. The cubic root of 6517678752 is about 1867.9459990778.

The spelling of 6517678752 in words is "six billion, five hundred seventeen million, six hundred seventy-eight thousand, seven hundred fifty-two".