97703755776 has 459 divisors, whose sum is σ = 318856814913. Its totient is φ = 28807004160.

The previous prime is 97703755771. The next prime is 97703755811. The reversal of 97703755776 is 67755730779.

The square root of 97703755776 is 312576.

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

97703755776 is a `hidden beast` number, since 9 + 7 + 7 + 0 + 3 + 7 + 557 + 76 = 666.

It can be written as a sum of positive squares in only one way, i.e., 87426662400 + 10277093376 = 295680^2 + 101376^2 .

It is not an unprimeable number, because it can be changed into a prime (97703755771) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2640642030 + ... + 2640642066.

Almost surely, 2^97703755776 is an apocalyptic number.

97703755776 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

97703755776 is the 312576-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97703755776

97703755776 is an abundant number, since it is smaller than the sum of its proper divisors (221153059137).

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

97703755776 is an equidigital number, since it uses as much as digits as its factorization.

97703755776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 68068350, while the sum is 63.

The spelling of 97703755776 in words is "ninety-seven billion, seven hundred three million, seven hundred fifty-five thousand, seven hundred seventy-six".