47500706880 has 784 divisors, whose sum is σ = 187814614464. Its totient is φ = 11341762560.

The previous prime is 47500706879. The next prime is 47500706887. The reversal of 47500706880 is 8860700574.

47500706880 is a `hidden beast` number, since 4 + 7 + 500 + 7 + 0 + 68 + 80 = 666.

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 (47500706887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 274570474 + ... + 274570646.

Almost surely, 2^47500706880 is an apocalyptic number.

47500706880 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 47500706880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93907307232).

47500706880 is an abundant number, since it is smaller than the sum of its proper divisors (140313907584).

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

47500706880 is a wasteful number, since it uses less digits than its factorization.

47500706880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 47500706880 in words is "forty-seven billion, five hundred million, seven hundred six thousand, eight hundred eighty".