49727433600 has 384 divisors, whose sum is σ = 195992143200. Its totient is φ = 12240322560.

The previous prime is 49727433589. The next prime is 49727433607. The reversal of 49727433600 is 633472794.

49727433600 is a `hidden beast` number, since 4 + 9 + 7 + 2 + 7 + 4 + 33 + 600 = 666.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49727433607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1101064 + ... + 1145336.

Almost surely, 2^49727433600 is an apocalyptic number.

49727433600 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 49727433600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97996071600).

49727433600 is an abundant number, since it is smaller than the sum of its proper divisors (146264709600).

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

49727433600 is a wasteful number, since it uses less digits than its factorization.

49727433600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44319 (or 44296 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 45.

The spelling of 49727433600 in words is "forty-nine billion, seven hundred twenty-seven million, four hundred thirty-three thousand, six hundred".