649186882560 has 264 divisors, whose sum is σ = 2381737083336. Its totient is φ = 162932981760.

The previous prime is 649186882541. The next prime is 649186882579. The reversal of 649186882560 is 65288681946.

649186882560 is a `hidden beast` number, since 6 + 4 + 9 + 1 + 8 + 68 + 8 + 2 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (649186882541) and next prime (649186882579).

It can be written as a sum of positive squares in 4 ways, for example, as 52115410944 + 597071471616 = 228288^2 + 772704^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 369000 + ... + 1197720.

Almost surely, 2^649186882560 is an apocalyptic number.

649186882560 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 649186882560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1190868541668).

649186882560 is an abundant number, since it is smaller than the sum of its proper divisors (1732550200776).

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

649186882560 is a wasteful number, since it uses less digits than its factorization.

649186882560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 828769 (or 828748 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 63.

The spelling of 649186882560 in words is "six hundred forty-nine billion, one hundred eighty-six million, eight hundred eighty-two thousand, five hundred sixty".