97740916800 has 672 divisors, whose sum is σ = 349058325504. Its totient is φ = 23887872000.

The previous prime is 97740916787. The next prime is 97740916807. The reversal of 97740916800 is 861904779.

It is not an unprimeable number, because it can be changed into a prime (97740916807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 225729384 + ... + 225729816.

It is an arithmetic number, because the mean of its divisors is an integer number (519432032).

Almost surely, 2^97740916800 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 97740916800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174529162752).

97740916800 is an abundant number, since it is smaller than the sum of its proper divisors (251317408704).

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

97740916800 is a wasteful number, since it uses less digits than its factorization.

97740916800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 51.

The spelling of 97740916800 in words is "ninety-seven billion, seven hundred forty million, nine hundred sixteen thousand, eight hundred".