49627404642816 has 3200 divisors, whose sum is σ = 209752175001600. Its totient is φ = 11500218777600.

The previous prime is 49627404642787. The next prime is 49627404642817. The reversal of 49627404642816 is 61824640472694.

49627404642816 is a `hidden beast` number, since 4 + 96 + 2 + 7 + 4 + 0 + 464 + 2 + 81 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (49627404642817) 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 319 ways as a sum of consecutive naturals, for example, 63058963575 + ... + 63058964361.

It is an arithmetic number, because the mean of its divisors is an integer number (65547554688).

Almost surely, 2^{49627404642816} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49627404642816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104876087500800).

49627404642816 is an abundant number, since it is smaller than the sum of its proper divisors (160124770358784).

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

49627404642816 is a wasteful number, since it uses less digits than its factorization.

49627404642816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 893 (or 854 counting only the distinct ones).

The product of its (nonzero) digits is 111476736, while the sum is 63.

The spelling of 49627404642816 in words is "forty-nine trillion, six hundred twenty-seven billion, four hundred four million, six hundred forty-two thousand, eight hundred sixteen".