47268823680 has 768 divisors, whose sum is σ = 189103299840. Its totient is φ = 10776084480.

The previous prime is 47268823661. The next prime is 47268823729. The reversal of 47268823680 is 8632886274.

47268823680 is a `hidden beast` number, since 472 + 68 + 8 + 2 + 36 + 80 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 90379899 + ... + 90380421.

It is an arithmetic number, because the mean of its divisors is an integer number (246228255).

Almost surely, 2^47268823680 is an apocalyptic number.

47268823680 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 47268823680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94551649920).

47268823680 is an abundant number, since it is smaller than the sum of its proper divisors (141834476160).

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

47268823680 is a wasteful number, since it uses less digits than its factorization.

47268823680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 649 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 47268823680 in words is "forty-seven billion, two hundred sixty-eight million, eight hundred twenty-three thousand, six hundred eighty".