8474895475200 has 2400 divisors, whose sum is σ = 39608024924160. Its totient is φ = 1738439884800.

The previous prime is 8474895475091. The next prime is 8474895475201. The reversal of 8474895475200 is 25745984748.

It is a happy number.

8474895475200 is a `hidden beast` number, since 8 + 4 + 7 + 4 + 89 + 547 + 5 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2400).

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

It is not an unprimeable number, because it can be changed into a prime (8474895475201) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 6626188161 + ... + 6626189439.

Almost surely, 2^{8474895475200} is an apocalyptic number.

8474895475200 is a gapful number since it is divisible by the number (80) 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 8474895475200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19804012462080).

8474895475200 is an abundant number, since it is smaller than the sum of its proper divisors (31133129448960).

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

8474895475200 is a wasteful number, since it uses less digits than its factorization.

8474895475200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1420 (or 1390 counting only the distinct ones).

The product of its (nonzero) digits is 90316800, while the sum is 63.

The spelling of 8474895475200 in words is "eight trillion, four hundred seventy-four billion, eight hundred ninety-five million, four hundred seventy-five thousand, two hundred".