97465029644800 has 960 divisors, whose sum is σ = 261580981495680. Its totient is φ = 35914336174080.

The previous prime is 97465029644797. The next prime is 97465029644833. The reversal of 97465029644800 is 844692056479.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 220011353379 + ... + 220011353821.

It is an arithmetic number, because the mean of its divisors is an integer number (272480189058).

Almost surely, 2^{97465029644800} 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 97465029644800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130790490747840).

97465029644800 is an abundant number, since it is smaller than the sum of its proper divisors (164115951850880).

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

97465029644800 is a wasteful number, since it uses less digits than its factorization.

97465029644800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 813 (or 792 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 64.

The spelling of 97465029644800 in words is "ninety-seven trillion, four hundred sixty-five billion, twenty-nine million, six hundred forty-four thousand, eight hundred".