6517216800 has 288 divisors, whose sum is σ = 24333442560. Its totient is φ = 1681689600.

The previous prime is 6517216793. The next prime is 6517216801. The reversal of 6517216800 is 86127156.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×6517216800² = 84948229636404480000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (6517216801) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 664734 + ... + 674466.

It is an arithmetic number, because the mean of its divisors is an integer number (84491120).

Almost surely, 2^6517216800 is an apocalyptic number.

6517216800 is a gapful number since it is divisible by the number (60) 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 6517216800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12166721280).

6517216800 is an abundant number, since it is smaller than the sum of its proper divisors (17816225760).

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

6517216800 is a wasteful number, since it uses less digits than its factorization.

6517216800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9793 (or 9774 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 6517216800 is about 80729.2809332525. The cubic root of 6517216800 is about 1867.9018667105.

The spelling of 6517216800 in words is "six billion, five hundred seventeen million, two hundred sixteen thousand, eight hundred".