97393418304 has 672 divisors, whose sum is σ = 337847537664. Its totient is φ = 24196423680.

The previous prime is 97393418299. The next prime is 97393418333. The reversal of 97393418304 is 40381439379.

It is a tau number, because it is divible by the number of its divisors (672).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 538085094 + ... + 538085274.

It is an arithmetic number, because the mean of its divisors is an integer number (502749312).

Almost surely, 2^97393418304 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 97393418304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168923768832).

97393418304 is an abundant number, since it is smaller than the sum of its proper divisors (240454119360).

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

97393418304 is a wasteful number, since it uses less digits than its factorization.

97393418304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 51.

The spelling of 97393418304 in words is "ninety-seven billion, three hundred ninety-three million, four hundred eighteen thousand, three hundred four".