6404101830 has 384 divisors, whose sum is σ = 20961607680. Its totient is φ = 1324477440.

The previous prime is 6404101819. The next prime is 6404101831. The reversal of 6404101830 is 381014046.

6404101830 is a `hidden beast` number, since 640 + 4 + 1 + 0 + 18 + 3 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 6404101794 and 6404101803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6404101831) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 23806936 + ... + 23807204.

It is an arithmetic number, because the mean of its divisors is an integer number (54587520).

Almost surely, 2^6404101830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6404101830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10480803840).

6404101830 is an abundant number, since it is smaller than the sum of its proper divisors (14557505850).

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

6404101830 is a wasteful number, since it uses less digits than its factorization.

6404101830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 6404101830 is about 80025.6323311475. The cubic root of 6404101830 is about 1857.0320947438.

Adding to 6404101830 its reverse (381014046), we get a palindrome (6785115876).

The spelling of 6404101830 in words is "six billion, four hundred four million, one hundred one thousand, eight hundred thirty".