8212763787264 has 405 divisors, whose sum is σ = 25260262189617. Its totient is φ = 2570684203008.

The previous prime is 8212763787233. The next prime is 8212763787287. The reversal of 8212763787264 is 4627873672128.

The square root of 8212763787264 is 2865792.

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

8212763787264 is a `hidden beast` number, since 8 + 21 + 276 + 3 + 7 + 87 + 264 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6394020249600 + 1818743537664 = 2528640^2 + 1348608^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 18707889957 + ... + 18707890395.

Almost surely, 2^{8212763787264} is an apocalyptic number.

8212763787264 is the 2865792-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8212763787264

8212763787264 is an abundant number, since it is smaller than the sum of its proper divisors (17047498402353).

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

8212763787264 is an frugal number, since it uses more digits than its factorization.

8212763787264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 946 (or 461 counting only the distinct ones).

The product of its digits is 75866112, while the sum is 63.

The spelling of 8212763787264 in words is "eight trillion, two hundred twelve billion, seven hundred sixty-three million, seven hundred eighty-seven thousand, two hundred sixty-four".