47459424960 has 448 divisors, whose sum is σ = 180215072640. Its totient is φ = 11713904640.

The previous prime is 47459424937. The next prime is 47459424973. The reversal of 47459424960 is 6942495474.

47459424960 is a `hidden beast` number, since 4 + 7 + 4 + 594 + 2 + 49 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 47459424897 and 47459424906.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8957032 + ... + 8962328.

Almost surely, 2^47459424960 is an apocalyptic number.

47459424960 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 47459424960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90107536320).

47459424960 is an abundant number, since it is smaller than the sum of its proper divisors (132755647680).

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

47459424960 is a wasteful number, since it uses less digits than its factorization.

47459424960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5401 (or 5385 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 47459424960 in words is "forty-seven billion, four hundred fifty-nine million, four hundred twenty-four thousand, nine hundred sixty".