7682742194176 has 351 divisors, whose sum is σ = 18752489742441. Its totient is φ = 3137739128832.

The previous prime is 7682742194147. The next prime is 7682742194207. The reversal of 7682742194176 is 6714912472867.

The square root of 7682742194176 is 2771776.

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

It can be written as a sum of positive squares in only one way, i.e., 505486872576 + 7177255321600 = 710976^2 + 2679040^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 28560379770 + ... + 28560380038.

Almost surely, 2^{7682742194176} is an apocalyptic number.

7682742194176 is the 2771776-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7682742194176

7682742194176 is an abundant number, since it is smaller than the sum of its proper divisors (11069747548265).

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

7682742194176 is an frugal number, since it uses more digits than its factorization.

7682742194176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622 (or 301 counting only the distinct ones).

The product of its digits is 56899584, while the sum is 64.

Multiplying 7682742194176 by its sum of digits (64), we get a square (491695500427264 = 22174208²).

7682742194176 divided by its sum of digits (64) gives a square (120042846784 = 346472²).

The spelling of 7682742194176 in words is "seven trillion, six hundred eighty-two billion, seven hundred forty-two million, one hundred ninety-four thousand, one hundred seventy-six".