47675456000 has 160 divisors (see below), whose sum is σ = 121787986320. Its totient is φ = 18604032000.

The previous prime is 47675455981. The next prime is 47675456011. The reversal of 47675456000 is 65457674.

It can be written as a sum of positive squares in 8 ways, for example, as 4151482624 + 43523973376 = 64432^2 + 208624^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2614916 + ... + 2633084.

Almost surely, 2^47675456000 is an apocalyptic number.

47675456000 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 47675456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60893993160).

47675456000 is an abundant number, since it is smaller than the sum of its proper divisors (74112530320).

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

47675456000 is an equidigital number, since it uses as much as digits as its factorization.

47675456000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18243 (or 18217 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 44.

The spelling of 47675456000 in words is "forty-seven billion, six hundred seventy-five million, four hundred fifty-six thousand".