649910050416 has 320 divisors, whose sum is σ = 2102722560000. Its totient is φ = 190407801600.

The previous prime is 649910050373. The next prime is 649910050423. The reversal of 649910050416 is 614050019946.

It is a happy number.

649910050416 is a `hidden beast` number, since 6 + 49 + 91 + 0 + 0 + 504 + 16 = 666.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 294475585 + ... + 294477791.

It is an arithmetic number, because the mean of its divisors is an integer number (6571008000).

Almost surely, 2^649910050416 is an apocalyptic number.

649910050416 is a gapful number since it is divisible by the number (66) 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 649910050416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1051361280000).

649910050416 is an abundant number, since it is smaller than the sum of its proper divisors (1452812509584).

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

649910050416 is a wasteful number, since it uses less digits than its factorization.

649910050416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4265 (or 4253 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 649910050416 in words is "six hundred forty-nine billion, nine hundred ten million, fifty thousand, four hundred sixteen".