6746594976 has 480 divisors, whose sum is σ = 23710579200. Its totient is φ = 1857945600.

The previous prime is 6746594969. The next prime is 6746594983. The reversal of 6746594976 is 6794956476.

6746594976 is a `hidden beast` number, since 67 + 465 + 9 + 49 + 76 = 666.

It is an interprime number because it is at equal distance from previous prime (6746594969) and next prime (6746594983).

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 79 ways as a sum of consecutive naturals, for example, 15025600 + ... + 15026048.

It is an arithmetic number, because the mean of its divisors is an integer number (49397040).

Almost surely, 2^6746594976 is an apocalyptic number.

6746594976 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6746594976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11855289600).

6746594976 is an abundant number, since it is smaller than the sum of its proper divisors (16963984224).

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

6746594976 is a wasteful number, since it uses less digits than its factorization.

6746594976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 513 counting only the distinct ones).

The product of its digits is 68584320, while the sum is 63.

The square root of 6746594976 is about 82137.6586956312. The cubic root of 6746594976 is about 1889.5637390656.

The spelling of 6746594976 in words is "six billion, seven hundred forty-six million, five hundred ninety-four thousand, nine hundred seventy-six".