58743738240 has 512 divisors, whose sum is σ = 208724705280. Its totient is φ = 14050713600.

The previous prime is 58743738233. The next prime is 58743738247. The reversal of 58743738240 is 4283734785.

58743738240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (58743738233) and next prime (58743738247).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58743738247) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 324550950 + ... + 324551130.

It is an arithmetic number, because the mean of its divisors is an integer number (407665440).

Almost surely, 2^58743738240 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 58743738240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104362352640).

58743738240 is an abundant number, since it is smaller than the sum of its proper divisors (149980967040).

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

58743738240 is a wasteful number, since it uses less digits than its factorization.

58743738240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 51.

The spelling of 58743738240 in words is "fifty-eight billion, seven hundred forty-three million, seven hundred thirty-eight thousand, two hundred forty".