42675996672 has 288 divisors, whose sum is σ = 130549255200. Its totient is φ = 13393133568.

The previous prime is 42675996667. The next prime is 42675996679. The reversal of 42675996672 is 27669957624.

42675996672 is a `hidden beast` number, since 426 + 7 + 59 + 96 + 6 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (42675996679) 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 23 ways as a sum of consecutive naturals, for example, 81598203 + ... + 81598725.

It is an arithmetic number, because the mean of its divisors is an integer number (453296025).

Almost surely, 2^42675996672 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 42675996672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65274627600).

42675996672 is an abundant number, since it is smaller than the sum of its proper divisors (87873258528).

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

42675996672 is a wasteful number, since it uses less digits than its factorization.

42675996672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 803 (or 780 counting only the distinct ones).

The product of its digits is 68584320, while the sum is 63.

The spelling of 42675996672 in words is "forty-two billion, six hundred seventy-five million, nine hundred ninety-six thousand, six hundred seventy-two".