97629668928 has 336 divisors, whose sum is σ = 317010288000. Its totient is φ = 29441111040.

The previous prime is 97629668921. The next prime is 97629668959. The reversal of 97629668928 is 82986692679.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (97629668921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47880133 + ... + 47882171.

It is an arithmetic number, because the mean of its divisors is an integer number (943483000).

Almost surely, 2^97629668928 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 97629668928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158505144000).

97629668928 is an abundant number, since it is smaller than the sum of its proper divisors (219380619072).

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

97629668928 is a wasteful number, since it uses less digits than its factorization.

97629668928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2311 (or 2284 counting only the distinct ones).

The product of its digits is 282175488, while the sum is 72.

The spelling of 97629668928 in words is "ninety-seven billion, six hundred twenty-nine million, six hundred sixty-eight thousand, nine hundred twenty-eight".