9478657843200 has 4536 divisors, whose sum is σ = 46280036825568. Its totient is φ = 1912940789760.

The previous prime is 9478657843189. The next prime is 9478657843217. The reversal of 9478657843200 is 23487568749.

9478657843200 is a `hidden beast` number, since 9 + 4 + 78 + 65 + 78 + 432 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4536).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 412115558389 + ... + 412115558411.

It is an arithmetic number, because the mean of its divisors is an integer number (10202829988).

Almost surely, 2^{9478657843200} is an apocalyptic number.

9478657843200 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 9478657843200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23140018412784).

9478657843200 is an abundant number, since it is smaller than the sum of its proper divisors (36801378982368).

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

9478657843200 is a wasteful number, since it uses less digits than its factorization.

9478657843200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 9478657843200 in words is "nine trillion, four hundred seventy-eight billion, six hundred fifty-seven million, eight hundred forty-three thousand, two hundred".