6775672680 has 320 divisors, whose sum is σ = 26188272000. Its totient is φ = 1539150336.

The previous prime is 6775672679. The next prime is 6775672691. The reversal of 6775672680 is 862765776.

6775672680 is a `hidden beast` number, since 6 + 77 + 567 + 2 + 6 + 8 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4058886 + ... + 4060554.

It is an arithmetic number, because the mean of its divisors is an integer number (81838350).

Almost surely, 2^6775672680 is an apocalyptic number.

6775672680 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 6775672680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13094136000).

6775672680 is an abundant number, since it is smaller than the sum of its proper divisors (19412599320).

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

6775672680 is a wasteful number, since it uses less digits than its factorization.

6775672680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1878 (or 1865 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 54.

The square root of 6775672680 is about 82314.4743043409. The cubic root of 6775672680 is about 1892.2745103320.

The spelling of 6775672680 in words is "six billion, seven hundred seventy-five million, six hundred seventy-two thousand, six hundred eighty".