47805690240 has 2048 divisors, whose sum is σ = 233127936000. Its totient is φ = 8957952000.

The previous prime is 47805690203. The next prime is 47805690241. The reversal of 47805690240 is 4209650874.

It is a happy number.

47805690240 is a `hidden beast` number, since 4 + 7 + 80 + 569 + 0 + 2 + 4 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47805690241) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 783699810 + ... + 783699870.

It is an arithmetic number, because the mean of its divisors is an integer number (113832000).

Almost surely, 2^47805690240 is an apocalyptic number.

47805690240 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 47805690240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116563968000).

47805690240 is an abundant number, since it is smaller than the sum of its proper divisors (185322245760).

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

47805690240 is a wasteful number, since it uses less digits than its factorization.

47805690240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 47805690240 in words is "forty-seven billion, eight hundred five million, six hundred ninety thousand, two hundred forty".