47403845760 has 256 divisors, whose sum is σ = 155408440320. Its totient is φ = 12283084800.

The previous prime is 47403845717. The next prime is 47403845773. The reversal of 47403845760 is 6754830474.

It is a happy number.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 22119249 + ... + 22121391.

It is an arithmetic number, because the mean of its divisors is an integer number (607064220).

Almost surely, 2^47403845760 is an apocalyptic number.

47403845760 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 47403845760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77704220160).

47403845760 is an abundant number, since it is smaller than the sum of its proper divisors (108004594560).

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

47403845760 is a wasteful number, since it uses less digits than its factorization.

47403845760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2487 (or 2475 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 48.

The spelling of 47403845760 in words is "forty-seven billion, four hundred three million, eight hundred forty-five thousand, seven hundred sixty".