649210680 has 128 divisors (see below), whose sum is σ = 2233958400. Its totient is φ = 167529600.

The previous prime is 649210657. The next prime is 649210691. The reversal of 649210680 is 86012946.

649210680 is a `hidden beast` number, since 649 + 2 + 1 + 0 + 6 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23785 + ... + 43175.

It is an arithmetic number, because the mean of its divisors is an integer number (17452800).

Almost surely, 2^649210680 is an apocalyptic number.

649210680 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 649210680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1116979200).

649210680 is an abundant number, since it is smaller than the sum of its proper divisors (1584747720).

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

649210680 is a wasteful number, since it uses less digits than its factorization.

649210680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19442 (or 19432 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 649210680 is about 25479.6130268888. The cubic root of 649210680 is about 865.8883274941. Note that the first 3 decimals are identical.

The spelling of 649210680 in words is "six hundred forty-nine million, two hundred ten thousand, six hundred eighty".