6398042112 has 672 divisors, whose sum is σ = 24535180800. Its totient is φ = 1589575680.

The previous prime is 6398042093. The next prime is 6398042117. The reversal of 6398042112 is 2112408936.

6398042112 is a `hidden beast` number, since 639 + 8 + 0 + 4 + 2 + 1 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6398042117) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 278175733 + ... + 278175755.

Almost surely, 2^6398042112 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 6398042112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12267590400).

6398042112 is an abundant number, since it is smaller than the sum of its proper divisors (18137138688).

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

6398042112 is a wasteful number, since it uses less digits than its factorization.

6398042112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 46 counting only the distinct ones).

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

The square root of 6398042112 is about 79987.7622639864. The cubic root of 6398042112 is about 1856.4461868214.

The spelling of 6398042112 in words is "six billion, three hundred ninety-eight million, forty-two thousand, one hundred twelve".