47841605320320 has 768 divisors, whose sum is σ = 195870225358080. Its totient is φ = 10931090227200.

The previous prime is 47841605320309. The next prime is 47841605320357. The reversal of 47841605320320 is 2302350614874.

47841605320320 is a `hidden beast` number, since 4 + 7 + 8 + 4 + 1 + 605 + 3 + 2 + 0 + 32 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3593593984 + ... + 3593607296.

It is an arithmetic number, because the mean of its divisors is an integer number (255039355935).

Almost surely, 2^{47841605320320} is an apocalyptic number.

47841605320320 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 47841605320320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97935112679040).

47841605320320 is an abundant number, since it is smaller than the sum of its proper divisors (148028620037760).

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

47841605320320 is a wasteful number, since it uses less digits than its factorization.

47841605320320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16655 (or 16631 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 47841605320320 in words is "forty-seven trillion, eight hundred forty-one billion, six hundred five million, three hundred twenty thousand, three hundred twenty".