47005791840 has 288 divisors, whose sum is σ = 191294078976. Its totient is φ = 10276992000.

The previous prime is 47005791799. The next prime is 47005791853. The reversal of 47005791840 is 4819750074.

It is a happy number.

47005791840 is a `hidden beast` number, since 4 + 70 + 0 + 579 + 1 + 8 + 4 + 0 = 666.

47005791840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 130465 + ... + 333215.

It is an arithmetic number, because the mean of its divisors is an integer number (664215552).

Almost surely, 2^47005791840 is an apocalyptic number.

47005791840 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 47005791840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95647039488).

47005791840 is an abundant number, since it is smaller than the sum of its proper divisors (144288287136).

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

47005791840 is a wasteful number, since it uses less digits than its factorization.

47005791840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202802 (or 202791 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 47005791840 in words is "forty-seven billion, five million, seven hundred ninety-one thousand, eight hundred forty".