42329962584 has 512 divisors, whose sum is σ = 150837657600. Its totient is φ = 10699153920.

The previous prime is 42329962579. The next prime is 42329962603. The reversal of 42329962584 is 48526992324.

42329962584 is a `hidden beast` number, since 4 + 2 + 3 + 2 + 9 + 9 + 625 + 8 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 42329962584.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 77385399 + ... + 77385945.

It is an arithmetic number, because the mean of its divisors is an integer number (294604800).

Almost surely, 2^42329962584 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 42329962584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75418828800).

42329962584 is an abundant number, since it is smaller than the sum of its proper divisors (108507695016).

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

42329962584 is a wasteful number, since it uses less digits than its factorization.

42329962584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 740 (or 730 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 54.

The spelling of 42329962584 in words is "forty-two billion, three hundred twenty-nine million, nine hundred sixty-two thousand, five hundred eighty-four".