97633536000 has 1536 divisors, whose sum is σ = 439589928960. Its totient is φ = 18579456000.

The previous prime is 97633535999. The next prime is 97633536001. The reversal of 97633536000 is 63533679.

It is an interprime number because it is at equal distance from previous prime (97633535999) and next prime (97633536001).

It is a tau number, because it is divible by the number of its divisors (1536).

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

It is not an unprimeable number, because it can be changed into a prime (97633536001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 768767937 + ... + 768768063.

It is an arithmetic number, because the mean of its divisors is an integer number (286191360).

Almost surely, 2^97633536000 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 97633536000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219794964480).

97633536000 is an abundant number, since it is smaller than the sum of its proper divisors (341956392960).

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

97633536000 is a wasteful number, since it uses less digits than its factorization.

97633536000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 306180, while the sum is 42.

The spelling of 97633536000 in words is "ninety-seven billion, six hundred thirty-three million, five hundred thirty-six thousand".