649697664000 has 2112 divisors, whose sum is σ = 2844742298112. Its totient is φ = 130056192000.

The previous prime is 649697663971. The next prime is 649697664013. The reversal of 649697664000 is 466796946.

It is a tau number, because it is divible by the number of its divisors (2112).

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 191 ways as a sum of consecutive naturals, for example, 8899967964 + ... + 8899968036.

It is an arithmetic number, because the mean of its divisors is an integer number (1346942376).

Almost surely, 2^649697664000 is an apocalyptic number.

649697664000 is a gapful number since it is divisible by the number (60) 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 649697664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1422371149056).

649697664000 is an abundant number, since it is smaller than the sum of its proper divisors (2195044634112).

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

649697664000 is a wasteful number, since it uses less digits than its factorization.

649697664000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 57.

The spelling of 649697664000 in words is "six hundred forty-nine billion, six hundred ninety-seven million, six hundred sixty-four thousand".