47209973760 has 288 divisors, whose sum is σ = 173251816920. Its totient is φ = 11848384512.

The previous prime is 47209973753. The next prime is 47209973803. The reversal of 47209973760 is 6737990274.

It can be written as a sum of positive squares in 4 ways, for example, as 39527801856 + 7682171904 = 198816^2 + 87648^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 47209973697 and 47209973706.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1551654 + ... + 1581786.

Almost surely, 2^47209973760 is an apocalyptic number.

47209973760 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 47209973760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86625908460).

47209973760 is an abundant number, since it is smaller than the sum of its proper divisors (126041843160).

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

47209973760 is a wasteful number, since it uses less digits than its factorization.

47209973760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30183 (or 30160 counting only the distinct ones).

The product of its (nonzero) digits is 4000752, while the sum is 54.

The spelling of 47209973760 in words is "forty-seven billion, two hundred nine million, nine hundred seventy-three thousand, seven hundred sixty".