47903969345760 has 1152 divisors, whose sum is σ = 187578411890688. Its totient is φ = 11448262656000.

The previous prime is 47903969345731. The next prime is 47903969345773. The reversal of 47903969345760 is 6754396930974.

47903969345760 is a `hidden beast` number, since 4 + 7 + 90 + 396 + 93 + 4 + 5 + 7 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 191 ways as a sum of consecutive naturals, for example, 11242422030 + ... + 11242426290.

It is an arithmetic number, because the mean of its divisors is an integer number (162828482544).

Almost surely, 2^{47903969345760} is an apocalyptic number.

47903969345760 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 47903969345760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93789205945344).

47903969345760 is an abundant number, since it is smaller than the sum of its proper divisors (139674442544928).

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

47903969345760 is a wasteful number, since it uses less digits than its factorization.

47903969345760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4670 (or 4650 counting only the distinct ones).

The product of its (nonzero) digits is 925888320, while the sum is 72.

The spelling of 47903969345760 in words is "forty-seven trillion, nine hundred three billion, nine hundred sixty-nine million, three hundred forty-five thousand, seven hundred sixty".