47875054328640 has 4032 divisors, whose sum is σ = 223499566338048. Its totient is φ = 9481096396800.

The previous prime is 47875054328587. The next prime is 47875054328653. The reversal of 47875054328640 is 4682345057874.

47875054328640 is a `hidden beast` number, since 4 + 7 + 8 + 7 + 5 + 0 + 543 + 2 + 86 + 4 + 0 = 666.

47875054328640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a super-2 number, since 2×47875054328640² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 493557261072 + ... + 493557261168.

It is an arithmetic number, because the mean of its divisors is an integer number (55431440064).

Almost surely, 2^{47875054328640} is an apocalyptic number.

47875054328640 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 47875054328640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111749783169024).

47875054328640 is an abundant number, since it is smaller than the sum of its proper divisors (175624512009408).

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

47875054328640 is an equidigital number, since it uses as much as digits as its factorization.

47875054328640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 180633600, while the sum is 63.

The spelling of 47875054328640 in words is "forty-seven trillion, eight hundred seventy-five billion, fifty-four million, three hundred twenty-eight thousand, six hundred forty".