47189606400 has 720 divisors, whose sum is σ = 184302578880. Its totient is φ = 11796480000.

The previous prime is 47189606389. The next prime is 47189606423. The reversal of 47189606400 is 460698174.

47189606400 is a `hidden beast` number, since 4 + 7 + 189 + 60 + 6 + 400 = 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 (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 188006275 + ... + 188006525.

It is an arithmetic number, because the mean of its divisors is an integer number (255975804).

Almost surely, 2^47189606400 is an apocalyptic number.

47189606400 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 47189606400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92151289440).

47189606400 is an abundant number, since it is smaller than the sum of its proper divisors (137112972480).

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

47189606400 is a wasteful number, since it uses less digits than its factorization.

47189606400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 47189606400 in words is "forty-seven billion, one hundred eighty-nine million, six hundred six thousand, four hundred".