47327350874400 has 864 divisors, whose sum is σ = 177887585715840. Its totient is φ = 12269796433920.

The previous prime is 47327350874393. The next prime is 47327350874407. The reversal of 47327350874400 is 447805372374.

47327350874400 is a `hidden beast` number, since 4 + 7 + 3 + 2 + 73 + 50 + 87 + 440 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (47327350874393) and next prime (47327350874407).

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (47327350874407) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 15371012061 + ... + 15371015139.

Almost surely, 2^{47327350874400} is an apocalyptic number.

47327350874400 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 47327350874400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88943792857920).

47327350874400 is an abundant number, since it is smaller than the sum of its proper divisors (130560234841440).

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

47327350874400 is a wasteful number, since it uses less digits than its factorization.

47327350874400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5288 (or 5263 counting only the distinct ones).

The product of its (nonzero) digits is 15805440, while the sum is 54.

The spelling of 47327350874400 in words is "forty-seven trillion, three hundred twenty-seven billion, three hundred fifty million, eight hundred seventy-four thousand, four hundred".