97692244322400 has 8064 divisors, whose sum is σ = 506081258726400. Its totient is φ = 17801242214400.

The previous prime is 97692244322371. The next prime is 97692244322401. The reversal of 97692244322400 is 422344229679.

It is a happy number.

97692244322400 is a `hidden beast` number, since 9 + 7 + 6 + 9 + 224 + 4 + 3 + 2 + 2 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97692244322401) by changing a digit.

It is a polite number, since it can be written in 1343 ways as a sum of consecutive naturals, for example, 702821901531 + ... + 702821901669.

It is an arithmetic number, because the mean of its divisors is an integer number (62758092600).

Almost surely, 2^{97692244322400} is an apocalyptic number.

97692244322400 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97692244322400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253040629363200).

97692244322400 is an abundant number, since it is smaller than the sum of its proper divisors (408389014404000).

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

97692244322400 is a wasteful number, since it uses less digits than its factorization.

97692244322400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 54.

The spelling of 97692244322400 in words is "ninety-seven trillion, six hundred ninety-two billion, two hundred forty-four million, three hundred twenty-two thousand, four hundred".