649729807669152 has 864 divisors, whose sum is σ = 2177070883251264. Its totient is φ = 183258580377600.

The previous prime is 649729807669139. The next prime is 649729807669153. The reversal of 649729807669152 is 251966708927946.

It is a happy number.

649729807669152 is a `hidden beast` number, since 6 + 497 + 2 + 9 + 8 + 0 + 76 + 6 + 9 + 1 + 52 = 666.

It is not an unprimeable number, because it can be changed into a prime (649729807669153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 438710200252 + ... + 438710201732.

It is an arithmetic number, because the mean of its divisors is an integer number (2519757966726).

Almost surely, 2^{649729807669152} 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 649729807669152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1088535441625632).

649729807669152 is an abundant number, since it is smaller than the sum of its proper divisors (1527341075582112).

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

649729807669152 is a wasteful number, since it uses less digits than its factorization.

649729807669152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2722 (or 2704 counting only the distinct ones).

The product of its (nonzero) digits is 4938071040, while the sum is 81.

The spelling of 649729807669152 in words is "six hundred forty-nine trillion, seven hundred twenty-nine billion, eight hundred seven million, six hundred sixty-nine thousand, one hundred fifty-two".