47815971840 has 1320 divisors, whose sum is σ = 215838414792. Its totient is φ = 10032906240.

The previous prime is 47815971769. The next prime is 47815971871. The reversal of 47815971840 is 4817951874.

47815971840 is a `hidden beast` number, since 4 + 7 + 8 + 1 + 597 + 1 + 8 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2149991424 + 45665980416 = 46368^2 + 213696^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 264176550 + ... + 264176730.

Almost surely, 2^47815971840 is an apocalyptic number.

47815971840 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 47815971840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107919207396).

47815971840 is an abundant number, since it is smaller than the sum of its proper divisors (168022442952).

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

47815971840 is a wasteful number, since it uses less digits than its factorization.

47815971840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 54.

The spelling of 47815971840 in words is "forty-seven billion, eight hundred fifteen million, nine hundred seventy-one thousand, eight hundred forty".