47781770400 has 1728 divisors, whose sum is σ = 223891170048. Its totient is φ = 9674588160.

The previous prime is 47781770381. The next prime is 47781770441. The reversal of 47781770400 is 407718774.

It is a happy number.

47781770400 is a `hidden beast` number, since 4 + 7 + 78 + 177 + 0 + 400 = 666.

It is a super-3 number, since 3×47781770400³ (a number of 33 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 654544764 + ... + 654544836.

Almost surely, 2^47781770400 is an apocalyptic number.

47781770400 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 47781770400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111945585024).

47781770400 is an abundant number, since it is smaller than the sum of its proper divisors (176109399648).

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

47781770400 is a wasteful number, since it uses less digits than its factorization.

47781770400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 307328, while the sum is 45.

The spelling of 47781770400 in words is "forty-seven billion, seven hundred eighty-one million, seven hundred seventy thousand, four hundred".