47200645440 has 504 divisors, whose sum is σ = 180619941528. Its totient is φ = 11300290560.

The previous prime is 47200645399. The next prime is 47200645441. The reversal of 47200645440 is 4454600274.

47200645440 is a `hidden beast` number, since 4 + 7 + 2 + 0 + 0 + 645 + 4 + 4 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 8950673664 + 38249971776 = 94608^2 + 195576^2 .

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 = 47200645395 and 47200645404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47200645441) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 18007330 + ... + 18009950.

Almost surely, 2^47200645440 is an apocalyptic number.

47200645440 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 47200645440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90309970764).

47200645440 is an abundant number, since it is smaller than the sum of its proper divisors (133419296088).

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

47200645440 is a wasteful number, since it uses less digits than its factorization.

47200645440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2707 (or 2681 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

The spelling of 47200645440 in words is "forty-seven billion, two hundred million, six hundred forty-five thousand, four hundred forty".