6736425984 has 528 divisors, whose sum is σ = 22685345280. Its totient is φ = 1911029760.

The previous prime is 6736425977. The next prime is 6736426009. The reversal of 6736425984 is 4895246376.

6736425984 is a `hidden beast` number, since 6 + 7 + 3 + 6 + 42 + 598 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 6736425984.

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 47 ways as a sum of consecutive naturals, for example, 92279772 + ... + 92279844.

Almost surely, 2^6736425984 is an apocalyptic number.

6736425984 is a gapful number since it is divisible by the number (64) 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 6736425984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11342672640).

6736425984 is an abundant number, since it is smaller than the sum of its proper divisors (15948919296).

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

6736425984 is a wasteful number, since it uses less digits than its factorization.

6736425984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 145 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

The square root of 6736425984 is about 82075.7332224330. The cubic root of 6736425984 is about 1888.6138959324.

The spelling of 6736425984 in words is "six billion, seven hundred thirty-six million, four hundred twenty-five thousand, nine hundred eighty-four".