47361320160 has 768 divisors, whose sum is σ = 194596577280. Its totient is φ = 9397002240.

The previous prime is 47361320143. The next prime is 47361320173. The reversal of 47361320160 is 6102316374.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 80683387 + ... + 80683973.

It is an arithmetic number, because the mean of its divisors is an integer number (253380960).

Almost surely, 2^47361320160 is an apocalyptic number.

47361320160 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 47361320160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97298288640).

47361320160 is an abundant number, since it is smaller than the sum of its proper divisors (147235257120).

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

47361320160 is a wasteful number, since it uses less digits than its factorization.

47361320160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 719 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The spelling of 47361320160 in words is "forty-seven billion, three hundred sixty-one million, three hundred twenty thousand, one hundred sixty".