97733696000 has 160 divisors (see below), whose sum is σ = 248311906128. Its totient is φ = 38354534400.

The previous prime is 97733695981. The next prime is 97733696009. The reversal of 97733696000 is 69633779.

It can be written as a sum of positive squares in 8 ways, for example, as 1117163776 + 96616532224 = 33424^2 + 310832^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a self number, because there is not a number n which added to its sum of digits gives 97733696000.

It is not an unprimeable number, because it can be changed into a prime (97733696009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3377594 + ... + 3406406.

Almost surely, 2^97733696000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97733696000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124155953064).

97733696000 is an abundant number, since it is smaller than the sum of its proper divisors (150578210128).

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

97733696000 is an equidigital number, since it uses as much as digits as its factorization.

97733696000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28899 (or 28873 counting only the distinct ones).

The product of its (nonzero) digits is 1285956, while the sum is 50.

The spelling of 97733696000 in words is "ninety-seven billion, seven hundred thirty-three million, six hundred ninety-six thousand".