97840082400 has 72 divisors (see below), whose sum is σ = 318469476024. Its totient is φ = 26090688000.

The previous prime is 97840082377. The next prime is 97840082401. The reversal of 97840082400 is 428004879.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97840082401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20380951 + ... + 20385750.

It is an arithmetic number, because the mean of its divisors is an integer number (4423187167).

Almost surely, 2^97840082400 is an apocalyptic number.

It is an amenable number.

97840082400 is an abundant number, since it is smaller than the sum of its proper divisors (220629393624).

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

97840082400 is a wasteful number, since it uses less digits than its factorization.

97840082400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40766724 (or 40766711 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The spelling of 97840082400 in words is "ninety-seven billion, eight hundred forty million, eighty-two thousand, four hundred".