76642600336 has 45 divisors (see below), whose sum is σ = 150890531841. Its totient is φ = 37712797056.

The previous prime is 76642600283. The next prime is 76642600337. The reversal of 76642600336 is 63300624667.

The square root of 76642600336 is 276844.

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., 73994880400 + 2647719936 = 272020^2 + 51456^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 76642600292 and 76642600301.

It is not an unprimeable number, because it can be changed into a prime (76642600337) 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 8 ways as a sum of consecutive naturals, for example, 74193676 + ... + 74194708.

Almost surely, 2^76642600336 is an apocalyptic number.

76642600336 is the 276844-th square number.

It is an amenable number.

76642600336 is a deficient number, since it is larger than the sum of its proper divisors (74247931505).

76642600336 is an frugal number, since it uses more digits than its factorization.

76642600336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2208 (or 1102 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 43.

The spelling of 76642600336 in words is "seventy-six billion, six hundred forty-two million, six hundred thousand, three hundred thirty-six".