6517676880 has 320 divisors, whose sum is σ = 26375811840. Its totient is φ = 1458432000.

The previous prime is 6517676861. The next prime is 6517676897. The reversal of 6517676880 is 886767156.

6517676880 is a `hidden beast` number, since 6 + 517 + 67 + 68 + 8 + 0 = 666.

It is a super-2 number, since 2×6517676880² = 84960223824173068800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 298330 + ... + 319430.

It is an arithmetic number, because the mean of its divisors is an integer number (82424412).

Almost surely, 2^6517676880 is an apocalyptic number.

6517676880 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 6517676880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13187905920).

6517676880 is an abundant number, since it is smaller than the sum of its proper divisors (19858134960).

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

6517676880 is a wasteful number, since it uses less digits than its factorization.

6517676880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21147 (or 21135 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The square root of 6517676880 is about 80732.1304066727. The cubic root of 6517676880 is about 1867.9458202414.

The spelling of 6517676880 in words is "six billion, five hundred seventeen million, six hundred seventy-six thousand, eight hundred eighty".