42906745584 has 120 divisors (see below), whose sum is σ = 122867671680. Its totient is φ = 13973129856.

The previous prime is 42906745547. The next prime is 42906745591. The reversal of 42906745584 is 48554760924.

42906745584 is a `hidden beast` number, since 4 + 29 + 0 + 67 + 4 + 558 + 4 = 666.

It is a super-2 number, since 2×42906745584² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 42906745584.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1369357 + ... + 1400339.

It is an arithmetic number, because the mean of its divisors is an integer number (1023897264).

Almost surely, 2^42906745584 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 42906745584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61433835840).

42906745584 is an abundant number, since it is smaller than the sum of its proper divisors (79960926096).

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

42906745584 is a wasteful number, since it uses less digits than its factorization.

42906745584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31219 (or 31210 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 42906745584 in words is "forty-two billion, nine hundred six million, seven hundred forty-five thousand, five hundred eighty-four".