6761352400 has 120 divisors (see below), whose sum is σ = 17761586400. Its totient is φ = 2453030400.

The previous prime is 6761352373. The next prime is 6761352427. The reversal of 6761352400 is 42531676.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (6761352373) and next prime (6761352427).

It is a congruent number.

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, 2238091 + ... + 2241109.

It is an arithmetic number, because the mean of its divisors is an integer number (148013220).

Almost surely, 2^6761352400 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 6761352400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8880793200).

6761352400 is an abundant number, since it is smaller than the sum of its proper divisors (11000234000).

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

6761352400 is a wasteful number, since it uses less digits than its factorization.

6761352400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3557 (or 3546 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 34.

The square root of 6761352400 is about 82227.4431075173. The cubic root of 6761352400 is about 1890.9404723757.

The spelling of 6761352400 in words is "six billion, seven hundred sixty-one million, three hundred fifty-two thousand, four hundred".