47763450240 has 512 divisors, whose sum is σ = 177221882880. Its totient is φ = 10813440000.

The previous prime is 47763450233. The next prime is 47763450299. The reversal of 47763450240 is 4205436774.

It is a junction number, because it is equal to n+sod(n) for n = 47763450192 and 47763450201.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 54214600 + ... + 54215480.

It is an arithmetic number, because the mean of its divisors is an integer number (346136490).

Almost surely, 2^47763450240 is an apocalyptic number.

47763450240 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 47763450240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88610941440).

47763450240 is an abundant number, since it is smaller than the sum of its proper divisors (129458432640).

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

47763450240 is a wasteful number, since it uses less digits than its factorization.

47763450240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1082 (or 1070 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 42.

The spelling of 47763450240 in words is "forty-seven billion, seven hundred sixty-three million, four hundred fifty thousand, two hundred forty".