42468530688 has 640 divisors, whose sum is σ = 142055907840. Its totient is φ = 12612796416.

The previous prime is 42468530677. The next prime is 42468530719. The reversal of 42468530688 is 88603586424.

42468530688 is a `hidden beast` number, since 4 + 2 + 46 + 8 + 530 + 68 + 8 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 437819856 + ... + 437819952.

It is an arithmetic number, because the mean of its divisors is an integer number (221962356).

Almost surely, 2^42468530688 is an apocalyptic number.

42468530688 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 42468530688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71027953920).

42468530688 is an abundant number, since it is smaller than the sum of its proper divisors (99587377152).

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

42468530688 is an frugal number, since it uses more digits than its factorization.

42468530688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 42468530688 in words is "forty-two billion, four hundred sixty-eight million, five hundred thirty thousand, six hundred eighty-eight".