42807974624 has 192 divisors, whose sum is σ = 96359155200. Its totient is φ = 18610808832.

The previous prime is 42807974611. The next prime is 42807974659. The reversal of 42807974624 is 42647970824.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 114766502 + ... + 114766874.

It is an arithmetic number, because the mean of its divisors is an integer number (501870600).

Almost surely, 2^42807974624 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 42807974624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48179577600).

42807974624 is an abundant number, since it is smaller than the sum of its proper divisors (53551180576).

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

42807974624 is a wasteful number, since it uses less digits than its factorization.

42807974624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 737 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 53.

The spelling of 42807974624 in words is "forty-two billion, eight hundred seven million, nine hundred seventy-four thousand, six hundred twenty-four".