6761769120 has 144 divisors (see below), whose sum is σ = 23312900520. Its totient is φ = 1784512512.

The previous prime is 6761769071. The next prime is 6761769151. The reversal of 6761769120 is 219671676.

It is a happy number.

6761769120 is a `hidden beast` number, since 6 + 7 + 617 + 6 + 9 + 1 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6680119824 + 81649296 = 81732^2 + 9036^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 115476 + ... + 163884.

Almost surely, 2^6761769120 is an apocalyptic number.

6761769120 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 6761769120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11656450260).

6761769120 is an abundant number, since it is smaller than the sum of its proper divisors (16551131400).

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

6761769120 is a wasteful number, since it uses less digits than its factorization.

6761769120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48527 (or 48516 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The square root of 6761769120 is about 82229.9770156845. The cubic root of 6761769120 is about 1890.9793194622.

The spelling of 6761769120 in words is "six billion, seven hundred sixty-one million, seven hundred sixty-nine thousand, one hundred twenty".