6761356008 has 128 divisors (see below), whose sum is σ = 19557728640. Its totient is φ = 1925120000.

The previous prime is 6761355989. The next prime is 6761356009. The reversal of 6761356008 is 8006531676.

It is not an unprimeable number, because it can be changed into a prime (6761356009) 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 31 ways as a sum of consecutive naturals, for example, 4222408 + ... + 4224008.

It is an arithmetic number, because the mean of its divisors is an integer number (152794755).

Almost surely, 2^6761356008 is an apocalyptic number.

6761356008 is a gapful number since it is divisible by the number (68) 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 6761356008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9778864320).

6761356008 is an abundant number, since it is smaller than the sum of its proper divisors (12796372632).

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

6761356008 is a wasteful number, since it uses less digits than its factorization.

6761356008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2579 (or 2575 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 6761356008 is about 82227.4650466619. The cubic root of 6761356008 is about 1890.9408087242.

The spelling of 6761356008 in words is "six billion, seven hundred sixty-one million, three hundred fifty-six thousand, eight".