62134345728 has 840 divisors, whose sum is σ = 233849238168. Its totient is φ = 16387080192.

The previous prime is 62134345667. The next prime is 62134345729. The reversal of 62134345728 is 82754343126.

62134345728 is a `hidden beast` number, since 62 + 13 + 4 + 3 + 4 + 572 + 8 = 666.

62134345728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (62134345729) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4779565050 + ... + 4779565062.

Almost surely, 2^62134345728 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 62134345728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116924619084).

62134345728 is an abundant number, since it is smaller than the sum of its proper divisors (171714892440).

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

62134345728 is an frugal number, since it uses more digits than its factorization.

62134345728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 25 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The spelling of 62134345728 in words is "sixty-two billion, one hundred thirty-four million, three hundred forty-five thousand, seven hundred twenty-eight".