6500677680 has 960 divisors, whose sum is σ = 28286189568. Its totient is φ = 1354890240.

The previous prime is 6500677663. The next prime is 6500677699. The reversal of 6500677680 is 867760056.

6500677680 is a `hidden beast` number, since 6 + 500 + 67 + 7 + 6 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 97025007 + ... + 97025073.

Almost surely, 2^6500677680 is an apocalyptic number.

6500677680 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 6500677680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14143094784).

6500677680 is an abundant number, since it is smaller than the sum of its proper divisors (21785511888).

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

6500677680 is a wasteful number, since it uses less digits than its factorization.

6500677680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 6500677680 is about 80626.7801663938. The cubic root of 6500677680 is about 1866.3204337999.

The spelling of 6500677680 in words is "six billion, five hundred million, six hundred seventy-seven thousand, six hundred eighty".