47644718400 has 1008 divisors, whose sum is σ = 187101358080. Its totient is φ = 11906611200.

The previous prime is 47644718357. The next prime is 47644718413. The reversal of 47644718400 is 481744674.

It is a happy number.

47644718400 is a `hidden beast` number, since 47 + 64 + 471 + 84 + 0 + 0 = 666.

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 (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 711115167 + ... + 711115233.

Almost surely, 2^47644718400 is an apocalyptic number.

47644718400 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 47644718400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93550679040).

47644718400 is an abundant number, since it is smaller than the sum of its proper divisors (139456639680).

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

47644718400 is a wasteful number, since it uses less digits than its factorization.

47644718400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 45.

The spelling of 47644718400 in words is "forty-seven billion, six hundred forty-four million, seven hundred eighteen thousand, four hundred".