42864577920 has 768 divisors, whose sum is σ = 168091822080. Its totient is φ = 10391224320.

The previous prime is 42864577891. The next prime is 42864577997. The reversal of 42864577920 is 2977546824.

42864577920 is a `hidden beast` number, since 4 + 2 + 8 + 64 + 577 + 9 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 81958779 + ... + 81959301.

It is an arithmetic number, because the mean of its divisors is an integer number (218869560).

Almost surely, 2^42864577920 is an apocalyptic number.

42864577920 is a gapful number since it is divisible by the number (40) 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 42864577920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84045911040).

42864577920 is an abundant number, since it is smaller than the sum of its proper divisors (125227244160).

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

42864577920 is a wasteful number, since it uses less digits than its factorization.

42864577920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 42864577920 in words is "forty-two billion, eight hundred sixty-four million, five hundred seventy-seven thousand, nine hundred twenty".