96424473600 has 1980 divisors, whose sum is σ = 453418794444. Its totient is φ = 20065812480.

The previous prime is 96424473577. The next prime is 96424473631. The reversal of 96424473600 is 637442469.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 8599965696 + 87824507904 = 92736^2 + 296352^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 1320883164 + ... + 1320883236.

Almost surely, 2^96424473600 is an apocalyptic number.

96424473600 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 96424473600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226709397222).

96424473600 is an abundant number, since it is smaller than the sum of its proper divisors (356994320844).

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

96424473600 is a wasteful number, since it uses less digits than its factorization.

96424473600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 96424473600 in words is "ninety-six billion, four hundred twenty-four million, four hundred seventy-three thousand, six hundred".