97805073408 has 352 divisors, whose sum is σ = 320959119360. Its totient is φ = 25863045120.

The previous prime is 97805073367. The next prime is 97805073409. The reversal of 97805073408 is 80437050879.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97805073409) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15329163 + ... + 15335541.

It is an arithmetic number, because the mean of its divisors is an integer number (911815680).

Almost surely, 2^97805073408 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 97805073408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160479559680).

97805073408 is an abundant number, since it is smaller than the sum of its proper divisors (223154045952).

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

97805073408 is a wasteful number, since it uses less digits than its factorization.

97805073408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6463 (or 6445 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 51.

The spelling of 97805073408 in words is "ninety-seven billion, eight hundred five million, seventy-three thousand, four hundred eight".