9456379894800 has 720 divisors, whose sum is σ = 34325846755200. Its totient is φ = 2500005150720.

The previous prime is 9456379894799. The next prime is 9456379894817. The reversal of 9456379894800 is 84989736549.

9456379894800 is a `hidden beast` number, since 9 + 4 + 5 + 63 + 7 + 9 + 89 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6759384501 + ... + 6759385899.

It is an arithmetic number, because the mean of its divisors is an integer number (47674787160).

Almost surely, 2^{9456379894800} is an apocalyptic number.

9456379894800 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 9456379894800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17162923377600).

9456379894800 is an abundant number, since it is smaller than the sum of its proper divisors (24869466860400).

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

9456379894800 is a wasteful number, since it uses less digits than its factorization.

9456379894800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1982 (or 1959 counting only the distinct ones).

The product of its (nonzero) digits is 470292480, while the sum is 72.

The spelling of 9456379894800 in words is "nine trillion, four hundred fifty-six billion, three hundred seventy-nine million, eight hundred ninety-four thousand, eight hundred".