47782204800 has 384 divisors, whose sum is σ = 174135640320. Its totient is φ = 11418624000.

The previous prime is 47782204787. The next prime is 47782204807. The reversal of 47782204800 is 840228774.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47782204807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7494414 + ... + 7500786.

It is an arithmetic number, because the mean of its divisors is an integer number (453478230).

Almost surely, 2^47782204800 is an apocalyptic number.

47782204800 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 47782204800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87067820160).

47782204800 is an abundant number, since it is smaller than the sum of its proper divisors (126353435520).

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

47782204800 is a wasteful number, since it uses less digits than its factorization.

47782204800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6482 (or 6465 counting only the distinct ones).

The product of its (nonzero) digits is 200704, while the sum is 42.

The spelling of 47782204800 in words is "forty-seven billion, seven hundred eighty-two million, two hundred four thousand, eight hundred".