649300680 has 384 divisors, whose sum is σ = 2587852800. Its totient is φ = 137894400.

The previous prime is 649300667. The next prime is 649300711. The reversal of 649300680 is 86003946.

649300680 is a `hidden beast` number, since 649 + 3 + 0 + 0 + 6 + 8 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3399385 + ... + 3399575.

It is an arithmetic number, because the mean of its divisors is an integer number (6739200).

Almost surely, 2^649300680 is an apocalyptic number.

649300680 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 649300680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1293926400).

649300680 is an abundant number, since it is smaller than the sum of its proper divisors (1938552120).

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

649300680 is a wasteful number, since it uses less digits than its factorization.

649300680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 649300680 is about 25481.3790835583. The cubic root of 649300680 is about 865.9283383108.

The spelling of 649300680 in words is "six hundred forty-nine million, three hundred thousand, six hundred eighty".