96324343502400 has 4032 divisors, whose sum is σ = 413260124659200. Its totient is φ = 21194514432000.

The previous prime is 96324343502393. The next prime is 96324343502441. The reversal of 96324343502400 is 420534342369.

96324343502400 is a `hidden beast` number, since 9 + 6 + 3 + 24 + 34 + 350 + 240 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 1356680894365 + ... + 1356680894435.

It is an arithmetic number, because the mean of its divisors is an integer number (102495070600).

Almost surely, 2^{96324343502400} is an apocalyptic number.

96324343502400 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 96324343502400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206630062329600).

96324343502400 is an abundant number, since it is smaller than the sum of its proper divisors (316935781156800).

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

96324343502400 is a wasteful number, since it uses less digits than its factorization.

96324343502400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 45.

Adding to 96324343502400 its reverse (420534342369), we get a palindrome (96744877844769).

The spelling of 96324343502400 in words is "ninety-six trillion, three hundred twenty-four billion, three hundred forty-three million, five hundred two thousand, four hundred".