649832968512 has 336 divisors, whose sum is σ = 2427320593152. Its totient is φ = 161302855680.

The previous prime is 649832968501. The next prime is 649832968523. The reversal of 649832968512 is 215869238946.

649832968512 is a `hidden beast` number, since 6 + 4 + 98 + 3 + 29 + 6 + 8 + 512 = 666.

It is an interprime number because it is at equal distance from previous prime (649832968501) and next prime (649832968523).

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a self number, because there is not a number n which added to its sum of digits gives 649832968512.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 526437 + ... + 1255707.

It is an arithmetic number, because the mean of its divisors is an integer number (7224168432).

Almost surely, 2^649832968512 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 649832968512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1213660296576).

649832968512 is an abundant number, since it is smaller than the sum of its proper divisors (1777487624640).

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

649832968512 is a wasteful number, since it uses less digits than its factorization.

649832968512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 729326 (or 729313 counting only the distinct ones).

The product of its digits is 44789760, while the sum is 63.

The spelling of 649832968512 in words is "six hundred forty-nine billion, eight hundred thirty-two million, nine hundred sixty-eight thousand, five hundred twelve".