6779129490 has 128 divisors (see below), whose sum is σ = 20684229120. Its totient is φ = 1547714304.

The previous prime is 6779129419. The next prime is 6779129509. The reversal of 6779129490 is 949219776.

6779129490 is a `hidden beast` number, since 67 + 7 + 91 + 2 + 9 + 490 = 666.

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

It is a Curzon number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 2291092 + ... + 2294048.

It is an arithmetic number, because the mean of its divisors is an integer number (161595540).

Almost surely, 2^6779129490 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6779129490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10342114560).

6779129490 is an abundant number, since it is smaller than the sum of its proper divisors (13905099630).

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

6779129490 is a wasteful number, since it uses less digits than its factorization.

6779129490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4193 (or 4187 counting only the distinct ones).

The product of its (nonzero) digits is 1714608, while the sum is 54.

The square root of 6779129490 is about 82335.4692098126. The cubic root of 6779129490 is about 1892.5962555752.

The spelling of 6779129490 in words is "six billion, seven hundred seventy-nine million, one hundred twenty-nine thousand, four hundred ninety".