47785449600 has 1152 divisors, whose sum is σ = 210252257280. Its totient is φ = 10085990400.

The previous prime is 47785449553. The next prime is 47785449659. The reversal of 47785449600 is 694458774.

47785449600 is a `hidden beast` number, since 4 + 7 + 7 + 8 + 544 + 96 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 250185505 + ... + 250185695.

It is an arithmetic number, because the mean of its divisors is an integer number (182510640).

Almost surely, 2^47785449600 is an apocalyptic number.

47785449600 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 47785449600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105126128640).

47785449600 is an abundant number, since it is smaller than the sum of its proper divisors (162466807680).

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

47785449600 is a wasteful number, since it uses less digits than its factorization.

47785449600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 47785449600 in words is "forty-seven billion, seven hundred eighty-five million, four hundred forty-nine thousand, six hundred".