47573994400 has 144 divisors (see below), whose sum is σ = 117493526808. Its totient is φ = 18808832000.

The previous prime is 47573994371. The next prime is 47573994401. The reversal of 47573994400 is 449937574.

It can be written as a sum of positive squares in 12 ways, for example, as 79637776 + 47494356624 = 8924^2 + 217932^2 .

It is not an unprimeable number, because it can be changed into a prime (47573994401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57945990 + ... + 57946810.

Almost surely, 2^47573994400 is an apocalyptic number.

47573994400 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 47573994400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58746763404).

47573994400 is an abundant number, since it is smaller than the sum of its proper divisors (69919532408).

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

47573994400 is a wasteful number, since it uses less digits than its factorization.

47573994400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1595 (or 1582 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 52.

The spelling of 47573994400 in words is "forty-seven billion, five hundred seventy-three million, nine hundred ninety-four thousand, four hundred".