6301693728 has 144 divisors (see below), whose sum is σ = 20273906016. Its totient is φ = 1909578240.

The previous prime is 6301693711. The next prime is 6301693753. The reversal of 6301693728 is 8273961036.

6301693728 is a `hidden beast` number, since 630 + 1 + 6 + 9 + 3 + 7 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×6301693728² = 79422687683029075968, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48700 + ... + 122372.

It is an arithmetic number, because the mean of its divisors is an integer number (140791014).

Almost surely, 2^6301693728 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 6301693728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10136953008).

6301693728 is an abundant number, since it is smaller than the sum of its proper divisors (13972212288).

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

6301693728 is a wasteful number, since it uses less digits than its factorization.

6301693728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73709 (or 73689 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 6301693728 is about 79383.2080984386. The cubic root of 6301693728 is about 1847.0802473228.

The spelling of 6301693728 in words is "six billion, three hundred one million, six hundred ninety-three thousand, seven hundred twenty-eight".