6761548050 has 288 divisors, whose sum is σ = 18980749440. Its totient is φ = 1589068800.

The previous prime is 6761548049. The next prime is 6761548051. The reversal of 6761548050 is 508451676.

It is an interprime number because it is at equal distance from previous prime (6761548049) and next prime (6761548051).

It is a super-3 number, since 3×6761548050³ (a number of 30 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6761547993 and 6761548011.

It is not an unprimeable number, because it can be changed into a prime (6761548051) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 75972406 + ... + 75972494.

It is an arithmetic number, because the mean of its divisors is an integer number (65905380).

Almost surely, 2^6761548050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6761548050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9490374720).

6761548050 is an abundant number, since it is smaller than the sum of its proper divisors (12219201390).

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

6761548050 is a wasteful number, since it uses less digits than its factorization.

6761548050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The square root of 6761548050 is about 82228.6327868827. The cubic root of 6761548050 is about 1890.9587112779.

The spelling of 6761548050 in words is "six billion, seven hundred sixty-one million, five hundred forty-eight thousand, fifty".