62500128768 has 864 divisors, whose sum is σ = 238576272480. Its totient is φ = 16164126720.

The previous prime is 62500128749. The next prime is 62500128841. The reversal of 62500128768 is 86782100526.

62500128768 is a `hidden beast` number, since 6 + 2 + 500 + 1 + 2 + 87 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 268240780 + ... + 268241012.

It is an arithmetic number, because the mean of its divisors is an integer number (276129945).

Almost surely, 2^62500128768 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 62500128768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119288136240).

62500128768 is an abundant number, since it is smaller than the sum of its proper divisors (176076143712).

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

62500128768 is a wasteful number, since it uses less digits than its factorization.

62500128768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 62500128768 in words is "sixty-two billion, five hundred million, one hundred twenty-eight thousand, seven hundred sixty-eight".