6858304640 has 128 divisors (see below), whose sum is σ = 18139386240. Its totient is φ = 2458624000.

The previous prime is 6858304637. The next prime is 6858304697. The reversal of 6858304640 is 464038586.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 6858304591 and 6858304600.

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 15 ways as a sum of consecutive naturals, for example, 492980 + ... + 506700.

It is an arithmetic number, because the mean of its divisors is an integer number (141713955).

Almost surely, 2^6858304640 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 6858304640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9069693120).

6858304640 is an abundant number, since it is smaller than the sum of its proper divisors (11281081600).

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

6858304640 is a wasteful number, since it uses less digits than its factorization.

6858304640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13822 (or 13810 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 44.

The square root of 6858304640 is about 82814.8817544287. The cubic root of 6858304640 is about 1899.9357909973.

The spelling of 6858304640 in words is "six billion, eight hundred fifty-eight million, three hundred four thousand, six hundred forty".