68730201575424 has 585 divisors, whose sum is σ = 211559954375847. Its totient is φ = 22233573163008.

The previous prime is 68730201575411. The next prime is 68730201575459. The reversal of 68730201575424 is 42457510203786.

The square root of 68730201575424 is 8290368.

It is a perfect power (a square), and thus also a powerful number.

68730201575424 is a `hidden beast` number, since 6 + 8 + 7 + 3 + 0 + 20 + 1 + 575 + 42 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2132067225600 + 66598134349824 = 1460160^2 + 8160768^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 176684322622 + ... + 176684323010.

Almost surely, 2^{68730201575424} is an apocalyptic number.

68730201575424 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

68730201575424 is the 8290368-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68730201575424

68730201575424 is an abundant number, since it is smaller than the sum of its proper divisors (142829752800423).

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

68730201575424 is an frugal number, since it uses more digits than its factorization.

68730201575424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 888 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 54.

It can be divided in two parts, 68730201 and 575424, that added together give a square (69305625 = 8325²).

The spelling of 68730201575424 in words is "sixty-eight trillion, seven hundred thirty billion, two hundred one million, five hundred seventy-five thousand, four hundred twenty-four".