97427982724800 has 2688 divisors, whose sum is σ = 415796787302400. Its totient is φ = 19537330176000.

The previous prime is 97427982724777. The next prime is 97427982724801. The reversal of 97427982724800 is 842728972479.

It is not an unprimeable number, because it can be changed into a prime (97427982724801) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 151993732480 + ... + 151993733120.

It is an arithmetic number, because the mean of its divisors is an integer number (154686304800).

Almost surely, 2^{97427982724800} 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 97427982724800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207898393651200).

97427982724800 is an abundant number, since it is smaller than the sum of its proper divisors (318368804577600).

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

97427982724800 is a wasteful number, since it uses less digits than its factorization.

97427982724800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 812 (or 771 counting only the distinct ones).

The product of its (nonzero) digits is 227598336, while the sum is 69.

The spelling of 97427982724800 in words is "ninety-seven trillion, four hundred twenty-seven billion, nine hundred eighty-two million, seven hundred twenty-four thousand, eight hundred".