6304191840 has 144 divisors (see below), whose sum is σ = 21626631936. Its totient is φ = 1672243200.

The previous prime is 6304191833. The next prime is 6304191911. The reversal of 6304191840 is 481914036.

6304191840 is a `hidden beast` number, since 63 + 0 + 419 + 184 + 0 = 666.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 6304191795 and 6304191804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 263580 + ... + 286500.

It is an arithmetic number, because the mean of its divisors is an integer number (150184944).

Almost surely, 2^6304191840 is an apocalyptic number.

6304191840 is a gapful number since it is divisible by the number (60) 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 6304191840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10813315968).

6304191840 is an abundant number, since it is smaller than the sum of its proper divisors (15322440096).

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

6304191840 is a wasteful number, since it uses less digits than its factorization.

6304191840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23133 (or 23122 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 6304191840 is about 79398.9410508730. The cubic root of 6304191840 is about 1847.3242877318.

The spelling of 6304191840 in words is "six billion, three hundred four million, one hundred ninety-one thousand, eight hundred forty".