97689219264 has 1176 divisors, whose sum is σ = 385483699440. Its totient is φ = 24267091968.

The previous prime is 97689219223. The next prime is 97689219289. The reversal of 97689219264 is 46291298679.

It is a tau number, because it is divible by the number of its divisors (1176).

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

It is a nude number because it is divisible by every one of its digits.

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 167 ways as a sum of consecutive naturals, for example, 564677482 + ... + 564677654.

Almost surely, 2^97689219264 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 97689219264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192741849720).

97689219264 is an abundant number, since it is smaller than the sum of its proper divisors (287794480176).

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

97689219264 is a wasteful number, since it uses less digits than its factorization.

97689219264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 217 counting only the distinct ones).

The product of its digits is 23514624, while the sum is 63.

The spelling of 97689219264 in words is "ninety-seven billion, six hundred eighty-nine million, two hundred nineteen thousand, two hundred sixty-four".