47466086400 has 816 divisors, whose sum is σ = 185281965600. Its totient is φ = 11890851840.

The previous prime is 47466086399. The next prime is 47466086407. The reversal of 47466086400 is 468066474.

47466086400 is a `hidden beast` number, since 474 + 6 + 60 + 86 + 40 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (47466086407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1282867182 + ... + 1282867218.

Almost surely, 2^47466086400 is an apocalyptic number.

47466086400 is a gapful number since it is divisible by the number (40) 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 47466086400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92640982800).

47466086400 is an abundant number, since it is smaller than the sum of its proper divisors (137815879200).

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

47466086400 is an equidigital number, since it uses as much as digits as its factorization.

47466086400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 47466086400 in words is "forty-seven billion, four hundred sixty-six million, eighty-six thousand, four hundred".