6136776828 has 288 divisors, whose sum is σ = 19693879296. Its totient is φ = 1568388096.

The previous prime is 6136776827. The next prime is 6136776829. The reversal of 6136776828 is 8286776316.

It is an interprime number because it is at equal distance from previous prime (6136776827) and next prime (6136776829).

It is a super-3 number, since 3×6136776828³ (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6136776827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16022725 + ... + 16023107.

Almost surely, 2^6136776828 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6136776828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9846939648).

6136776828 is an abundant number, since it is smaller than the sum of its proper divisors (13557102468).

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

6136776828 is a wasteful number, since it uses less digits than its factorization.

6136776828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553 (or 548 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The square root of 6136776828 is about 78337.5824748249. The cubic root of 6136776828 is about 1830.8247576819.

The spelling of 6136776828 in words is "six billion, one hundred thirty-six million, seven hundred seventy-six thousand, eight hundred twenty-eight".