47507768448 has 256 divisors, whose sum is σ = 152379187200. Its totient is φ = 12825759744.

The previous prime is 47507768437. The next prime is 47507768461. The reversal of 47507768448 is 84486770574.

It is a junction number, because it is equal to n+sod(n) for n = 47507768391 and 47507768400.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3657261 + ... + 3670227.

It is an arithmetic number, because the mean of its divisors is an integer number (595231200).

Almost surely, 2^47507768448 is an apocalyptic number.

47507768448 is a gapful number since it is divisible by the number (48) 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 47507768448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76189593600).

47507768448 is an abundant number, since it is smaller than the sum of its proper divisors (104871418752).

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

47507768448 is a wasteful number, since it uses less digits than its factorization.

47507768448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13067 (or 13055 counting only the distinct ones).

The product of its (nonzero) digits is 42147840, while the sum is 60.

The spelling of 47507768448 in words is "forty-seven billion, five hundred seven million, seven hundred sixty-eight thousand, four hundred forty-eight".