6874081632 has 288 divisors, whose sum is σ = 22522752000. Its totient is φ = 2037277440.

The previous prime is 6874081601. The next prime is 6874081661. The reversal of 6874081632 is 2361804786.

6874081632 is a `hidden beast` number, since 6 + 8 + 7 + 4 + 0 + 8 + 1 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4912869 + ... + 4914267.

It is an arithmetic number, because the mean of its divisors is an integer number (78204000).

Almost surely, 2^6874081632 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 6874081632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11261376000).

6874081632 is an abundant number, since it is smaller than the sum of its proper divisors (15648670368).

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

6874081632 is a wasteful number, since it uses less digits than its factorization.

6874081632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1487 (or 1462 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 6874081632 is about 82910.0816065212. The cubic root of 6874081632 is about 1901.3915597051.

The spelling of 6874081632 in words is "six billion, eight hundred seventy-four million, eighty-one thousand, six hundred thirty-two".