42872903412768 has 2304 divisors, whose sum is σ = 167064765235200. Its totient is φ = 10568143872000.

The previous prime is 42872903412761. The next prime is 42872903412839. The reversal of 42872903412768 is 86721430927824.

It is a happy number.

42872903412768 is a `hidden beast` number, since 4 + 2 + 8 + 72 + 90 + 3 + 412 + 7 + 68 = 666.

It is not an unprimeable number, because it can be changed into a prime (42872903412761) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 21974834193 + ... + 21974836143.

It is an arithmetic number, because the mean of its divisors is an integer number (72510748800).

Almost surely, 2^{42872903412768} is an apocalyptic number.

42872903412768 is a gapful number since it is divisible by the number (48) 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 42872903412768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83532382617600).

42872903412768 is an abundant number, since it is smaller than the sum of its proper divisors (124191861822432).

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

42872903412768 is a wasteful number, since it uses less digits than its factorization.

42872903412768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2084 (or 2059 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 63.

The spelling of 42872903412768 in words is "forty-two trillion, eight hundred seventy-two billion, nine hundred three million, four hundred twelve thousand, seven hundred sixty-eight".