96768277776 has 75 divisors (see below), whose sum is σ = 280107886773. Its totient is φ = 32252359680.

The previous prime is 96768277763. The next prime is 96768277787. The reversal of 96768277776 is 67777286769.

The square root of 96768277776 is 311076.

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., 2691119376 + 94077158400 = 51876^2 + 306720^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

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 14 ways as a sum of consecutive naturals, for example, 11194416 + ... + 11203056.

Almost surely, 2^96768277776 is an apocalyptic number.

96768277776 is the 311076-th square number.

It is an amenable number.

96768277776 is an abundant number, since it is smaller than the sum of its proper divisors (183339608997).

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

96768277776 is an frugal number, since it uses more digits than its factorization.

96768277776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17302 (or 8646 counting only the distinct ones).

The product of its digits is 522764928, while the sum is 72.

It can be divided in two parts, 96768 and 277776, that added together give a square (374544 = 612²).

The spelling of 96768277776 in words is "ninety-six billion, seven hundred sixty-eight million, two hundred seventy-seven thousand, seven hundred seventy-six".