6776501160 has 384 divisors, whose sum is σ = 24693932160. Its totient is φ = 1473638400.

The previous prime is 6776501143. The next prime is 6776501161. The reversal of 6776501160 is 611056776.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (6776501161) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 8253550 + ... + 8254370.

It is an arithmetic number, because the mean of its divisors is an integer number (64307115).

Almost surely, 2^6776501160 is an apocalyptic number.

6776501160 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 6776501160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12346966080).

6776501160 is an abundant number, since it is smaller than the sum of its proper divisors (17917431000).

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

6776501160 is a wasteful number, since it uses less digits than its factorization.

6776501160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909 (or 892 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 39.

The square root of 6776501160 is about 82319.5065582879. The cubic root of 6776501160 is about 1892.3516317126.

The spelling of 6776501160 in words is "six billion, seven hundred seventy-six million, five hundred one thousand, one hundred sixty".