42786618624 has 432 divisors, whose sum is σ = 137494156800. Its totient is φ = 12740198400.

The previous prime is 42786618619. The next prime is 42786618653. The reversal of 42786618624 is 42681668724.

It is a happy number.

42786618624 is a `hidden beast` number, since 4 + 2 + 7 + 8 + 6 + 6 + 1 + 8 + 624 = 666.

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 47 ways as a sum of consecutive naturals, for example, 55638912 + ... + 55639680.

Almost surely, 2^42786618624 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 42786618624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68747078400).

42786618624 is an abundant number, since it is smaller than the sum of its proper divisors (94707538176).

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

42786618624 is a wasteful number, since it uses less digits than its factorization.

42786618624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 882 (or 865 counting only the distinct ones).

The product of its digits is 6193152, while the sum is 54.

The spelling of 42786618624 in words is "forty-two billion, seven hundred eighty-six million, six hundred eighteen thousand, six hundred twenty-four".