75752653824 has 297 divisors, whose sum is σ = 227210865141. Its totient is φ = 24308490240.

The previous prime is 75752653807. The next prime is 75752653831. The reversal of 75752653824 is 42835625757.

The square root of 75752653824 is 275232.

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

75752653824 is a `hidden beast` number, since 7 + 57 + 52 + 6 + 538 + 2 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2463335424 + 73289318400 = 49632^2 + 270720^2 .

It is a super-2 number, since 2×75752653824² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 1241846754 + ... + 1241846814.

Almost surely, 2^75752653824 is an apocalyptic number.

75752653824 is the 275232-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75752653824

75752653824 is an abundant number, since it is smaller than the sum of its proper divisors (151458211317).

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

75752653824 is an equidigital number, since it uses as much as digits as its factorization.

75752653824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 113 counting only the distinct ones).

The product of its digits is 14112000, while the sum is 54.

The spelling of 75752653824 in words is "seventy-five billion, seven hundred fifty-two million, six hundred fifty-three thousand, eight hundred twenty-four".