47609765280 has 1728 divisors, whose sum is σ = 228550533120. Its totient is φ = 9069926400.

The previous prime is 47609765279. The next prime is 47609765339. The reversal of 47609765280 is 8256790674.

47609765280 is a `hidden beast` number, since 4 + 7 + 609 + 7 + 6 + 5 + 28 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 287 ways as a sum of consecutive naturals, for example, 1535798865 + ... + 1535798895.

It is an arithmetic number, because the mean of its divisors is an integer number (132263040).

Almost surely, 2^47609765280 is an apocalyptic number.

47609765280 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 47609765280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114275266560).

47609765280 is an abundant number, since it is smaller than the sum of its proper divisors (180940767840).

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

47609765280 is a wasteful number, since it uses less digits than its factorization.

47609765280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 47609765280 in words is "forty-seven billion, six hundred nine million, seven hundred sixty-five thousand, two hundred eighty".