62768288128 has 384 divisors, whose sum is σ = 170345548800. Its totient is φ = 22748221440.

The previous prime is 62768288117. The next prime is 62768288129. The reversal of 62768288128 is 82188286726.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (62768288129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48024051 + ... + 48025357.

It is an arithmetic number, because the mean of its divisors is an integer number (443608200).

Almost surely, 2^62768288128 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 62768288128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85172774400).

62768288128 is an abundant number, since it is smaller than the sum of its proper divisors (107577260672).

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

62768288128 is a wasteful number, since it uses less digits than its factorization.

62768288128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1398 (or 1379 counting only the distinct ones).

The product of its digits is 8257536, while the sum is 58.

The spelling of 62768288128 in words is "sixty-two billion, seven hundred sixty-eight million, two hundred eighty-eight thousand, one hundred twenty-eight".