42668248896 has 168 divisors, whose sum is σ = 150524285184. Its totient is φ = 11253150720.

The previous prime is 42668248891. The next prime is 42668248907. The reversal of 42668248896 is 69884286624.

42668248896 is a `hidden beast` number, since 4 + 2 + 6 + 68 + 2 + 488 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42668248891) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 354600 + ... + 459431.

It is an arithmetic number, because the mean of its divisors is an integer number (895977888).

Almost surely, 2^42668248896 is an apocalyptic number.

It is an amenable number.

42668248896 is an abundant number, since it is smaller than the sum of its proper divisors (107856036288).

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

42668248896 is a wasteful number, since it uses less digits than its factorization.

42668248896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 814069 (or 814056 counting only the distinct ones).

The product of its digits is 63700992, while the sum is 63.

The spelling of 42668248896 in words is "forty-two billion, six hundred sixty-eight million, two hundred forty-eight thousand, eight hundred ninety-six".