97636560000 has 640 divisors, whose sum is σ = 375112425600. Its totient is φ = 22032384000.

The previous prime is 97636559959. The next prime is 97636560019. The reversal of 97636560000 is 6563679.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (42).

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 79 ways as a sum of consecutive naturals, for example, 149519674 + ... + 149520326.

It is an arithmetic number, because the mean of its divisors is an integer number (586113165).

Almost surely, 2^97636560000 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 97636560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187556212800).

97636560000 is an abundant number, since it is smaller than the sum of its proper divisors (277475865600).

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

97636560000 is an equidigital number, since it uses as much as digits as its factorization.

97636560000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786 (or 759 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 42.

The spelling of 97636560000 in words is "ninety-seven billion, six hundred thirty-six million, five hundred sixty thousand".