97837705728 has 180 divisors, whose sum is σ = 328467612330. Its totient is φ = 27953565696.

The previous prime is 97837705717. The next prime is 97837705747. The reversal of 97837705728 is 82750773879.

It can be written as a sum of positive squares in only one way, i.e., 90028802304 + 7808903424 = 300048^2 + 88368^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 9138 + ... + 442446.

Almost surely, 2^97837705728 is an apocalyptic number.

97837705728 is a gapful number since it is divisible by the number (98) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97837705728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164233806165).

97837705728 is an abundant number, since it is smaller than the sum of its proper divisors (230629906602).

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

97837705728 is a wasteful number, since it uses less digits than its factorization.

97837705728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433347 (or 433321 counting only the distinct ones).

The product of its (nonzero) digits is 41489280, while the sum is 63.

The spelling of 97837705728 in words is "ninety-seven billion, eight hundred thirty-seven million, seven hundred five thousand, seven hundred twenty-eight".