6740838468 has 504 divisors, whose sum is σ = 23445112320. Its totient is φ = 1675416960.

The previous prime is 6740838463. The next prime is 6740838473. The reversal of 6740838468 is 8648380476.

6740838468 is a `hidden beast` number, since 67 + 40 + 83 + 8 + 468 = 666.

It is an interprime number because it is at equal distance from previous prime (6740838463) and next prime (6740838473).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6740838463) 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 167 ways as a sum of consecutive naturals, for example, 35292253 + ... + 35292443.

It is an arithmetic number, because the mean of its divisors is an integer number (46518080).

Almost surely, 2^6740838468 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 6740838468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11722556160).

6740838468 is an abundant number, since it is smaller than the sum of its proper divisors (16704273852).

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

6740838468 is a wasteful number, since it uses less digits than its factorization.

6740838468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The square root of 6740838468 is about 82102.6093860603. The cubic root of 6740838468 is about 1889.0261649779.

The spelling of 6740838468 in words is "six billion, seven hundred forty million, eight hundred thirty-eight thousand, four hundred sixty-eight".