49049763840 has 960 divisors, whose sum is σ = 219848428800. Its totient is φ = 10192158720.

The previous prime is 49049763839. The next prime is 49049763853. The reversal of 49049763840 is 4836794094.

It is a happy number.

49049763840 is a `hidden beast` number, since 4 + 90 + 497 + 63 + 8 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 47 ways as a sum of consecutive naturals, for example, 4459069435 + ... + 4459069445.

It is an arithmetic number, because the mean of its divisors is an integer number (229008780).

Almost surely, 2^49049763840 is an apocalyptic number.

49049763840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

49049763840 is a droll number since its even prime factors and its odd prime factors have the same sum.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49049763840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109924214400).

49049763840 is an abundant number, since it is smaller than the sum of its proper divisors (170798664960).

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

49049763840 is an frugal number, since it uses more digits than its factorization.

49049763840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 49049763840 in words is "forty-nine billion, forty-nine million, seven hundred sixty-three thousand, eight hundred forty".