42737726304 has 1152 divisors, whose sum is σ = 169564147200. Its totient is φ = 10346434560.

The previous prime is 42737726293. The next prime is 42737726327. The reversal of 42737726304 is 40362773724.

42737726304 is a `hidden beast` number, since 4 + 2 + 7 + 3 + 7 + 7 + 2 + 630 + 4 = 666.

It is a super-2 number, since 2×42737726304² (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 42737726304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 637876479 + ... + 637876545.

It is an arithmetic number, because the mean of its divisors is an integer number (147191100).

Almost surely, 2^42737726304 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 42737726304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84782073600).

42737726304 is an abundant number, since it is smaller than the sum of its proper divisors (126826420896).

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

42737726304 is a wasteful number, since it uses less digits than its factorization.

42737726304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 1185408, while the sum is 45.

The spelling of 42737726304 in words is "forty-two billion, seven hundred thirty-seven million, seven hundred twenty-six thousand, three hundred four".