6842610432 has 720 divisors, whose sum is σ = 25642552320. Its totient is φ = 1770356736.

The previous prime is 6842610431. The next prime is 6842610457. The reversal of 6842610432 is 2340162486.

6842610432 is a `hidden beast` number, since 6 + 8 + 4 + 2 + 610 + 4 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (6842610431) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 115976419 + ... + 115976477.

It is an arithmetic number, because the mean of its divisors is an integer number (35614656).

Almost surely, 2^6842610432 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 6842610432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12821276160).

6842610432 is an abundant number, since it is smaller than the sum of its proper divisors (18799941888).

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

6842610432 is a wasteful number, since it uses less digits than its factorization.

6842610432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 6842610432 is about 82720.0727272408. The cubic root of 6842610432 is about 1898.4854441701.

The spelling of 6842610432 in words is "six billion, eight hundred forty-two million, six hundred ten thousand, four hundred thirty-two".