47618202240 has 1536 divisors, whose sum is σ = 215568138240. Its totient is φ = 9794027520.

The previous prime is 47618202179. The next prime is 47618202263. The reversal of 47618202240 is 4220281674.

47618202240 is a `hidden beast` number, since 476 + 182 + 0 + 2 + 2 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 47618202195 and 47618202204.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 573713239 + ... + 573713321.

It is an arithmetic number, because the mean of its divisors is an integer number (140343840).

Almost surely, 2^47618202240 is an apocalyptic number.

47618202240 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 47618202240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107784069120).

47618202240 is an abundant number, since it is smaller than the sum of its proper divisors (167949936000).

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

47618202240 is a wasteful number, since it uses less digits than its factorization.

47618202240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 47618202240 in words is "forty-seven billion, six hundred eighteen million, two hundred two thousand, two hundred forty".