47397901824 has 960 divisors, whose sum is σ = 182849546880. Its totient is φ = 11466178560.

The previous prime is 47397901823. The next prime is 47397901849. The reversal of 47397901824 is 42810979374.

47397901824 is a `hidden beast` number, since 473 + 9 + 7 + 90 + 1 + 82 + 4 = 666.

It is a super-2 number, since 2×47397901824² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47397901823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 434843082 + ... + 434843190.

It is an arithmetic number, because the mean of its divisors is an integer number (190468278).

Almost surely, 2^47397901824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47397901824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91424773440).

47397901824 is an abundant number, since it is smaller than the sum of its proper divisors (135451645056).

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

47397901824 is a wasteful number, since it uses less digits than its factorization.

47397901824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 47397901824 in words is "forty-seven billion, three hundred ninety-seven million, nine hundred one thousand, eight hundred twenty-four".