70764512256 has 297 divisors, whose sum is σ = 218397301941. Its totient is φ = 22064431104.

The previous prime is 70764512251. The next prime is 70764512263. The reversal of 70764512256 is 65221546707.

The square root of 70764512256 is 266016.

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

70764512256 is a `hidden beast` number, since 70 + 7 + 64 + 512 + 2 + 5 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 55093478400 + 15671033856 = 234720^2 + 125184^2 .

It is not an unprimeable number, because it can be changed into a prime (70764512251) 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 26 ways as a sum of consecutive naturals, for example, 434138031 + ... + 434138193.

Almost surely, 2^70764512256 is an apocalyptic number.

70764512256 is the 266016-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 70764512256

70764512256 is an abundant number, since it is smaller than the sum of its proper divisors (147632789685).

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

70764512256 is a wasteful number, since it uses less digits than its factorization.

70764512256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

It can be divided in two parts, 7076451 and 2256, that added together give a palindrome (7078707).

The spelling of 70764512256 in words is "seventy billion, seven hundred sixty-four million, five hundred twelve thousand, two hundred fifty-six".