47819715840 has 432 divisors, whose sum is σ = 185938526592. Its totient is φ = 11258413056.

The previous prime is 47819715821. The next prime is 47819715857. The reversal of 47819715840 is 4851791874.

47819715840 is a `hidden beast` number, since 47 + 8 + 19 + 7 + 1 + 584 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3437539 + ... + 3451421.

It is an arithmetic number, because the mean of its divisors is an integer number (430413256).

Almost surely, 2^47819715840 is an apocalyptic number.

47819715840 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 47819715840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92969263296).

47819715840 is an abundant number, since it is smaller than the sum of its proper divisors (138118810752).

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

47819715840 is a wasteful number, since it uses less digits than its factorization.

47819715840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13946 (or 13929 counting only the distinct ones).

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

The spelling of 47819715840 in words is "forty-seven billion, eight hundred nineteen million, seven hundred fifteen thousand, eight hundred forty".