47666314400 has 72 divisors (see below), whose sum is σ = 116491411260. Its totient is φ = 19045877760.

The previous prime is 47666314349. The next prime is 47666314613. The reversal of 47666314400 is 441366674.

It can be written as a sum of positive squares in 6 ways, for example, as 16454732176 + 31211582224 = 128276^2 + 176668^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 717806 + ... + 781394.

Almost surely, 2^47666314400 is an apocalyptic number.

47666314400 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 47666314400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58245705630).

47666314400 is an abundant number, since it is smaller than the sum of its proper divisors (68825096860).

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

47666314400 is a wasteful number, since it uses less digits than its factorization.

47666314400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64546 (or 64533 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 41.

The spelling of 47666314400 in words is "forty-seven billion, six hundred sixty-six million, three hundred fourteen thousand, four hundred".