49673779200 has 288 divisors, whose sum is σ = 182465665200. Its totient is φ = 13245972480.

The previous prime is 49673779147. The next prime is 49673779241. The reversal of 49673779200 is 297737694.

49673779200 is a `hidden beast` number, since 4 + 9 + 67 + 377 + 9 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1364434 + ... + 1400366.

Almost surely, 2^49673779200 is an apocalyptic number.

49673779200 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 49673779200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91232832600).

49673779200 is an abundant number, since it is smaller than the sum of its proper divisors (132791886000).

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

49673779200 is a wasteful number, since it uses less digits than its factorization.

49673779200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35974 (or 35943 counting only the distinct ones).

The product of its (nonzero) digits is 4000752, while the sum is 54.

The spelling of 49673779200 in words is "forty-nine billion, six hundred seventy-three million, seven hundred seventy-nine thousand, two hundred".