47381604480 has 960 divisors, whose sum is σ = 205645366080. Its totient is φ = 10346434560.

The previous prime is 47381604467. The next prime is 47381604481. The reversal of 47381604480 is 8440618374.

47381604480 is a `hidden beast` number, since 4 + 7 + 3 + 8 + 160 + 4 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (47381604481) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 58423275 + ... + 58424085.

It is an arithmetic number, because the mean of its divisors is an integer number (214213923).

Almost surely, 2^47381604480 is an apocalyptic number.

47381604480 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 47381604480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102822683040).

47381604480 is an abundant number, since it is smaller than the sum of its proper divisors (158263761600).

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

47381604480 is a wasteful number, since it uses less digits than its factorization.

47381604480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 879 (or 851 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 47381604480 in words is "forty-seven billion, three hundred eighty-one million, six hundred four thousand, four hundred eighty".