4649287680 has 256 divisors, whose sum is σ = 16546276800. Its totient is φ = 1238630400.

The previous prime is 4649287673. The next prime is 4649287681. The reversal of 4649287680 is 867829464.

4649287680 is a `hidden beast` number, since 4 + 6 + 492 + 8 + 76 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (256).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (4649287681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4423155 + ... + 4424205.

Almost surely, 2^4649287680 is an apocalyptic number.

4649287680 is a gapful number since it is divisible by the number (40) 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 4649287680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8273138400).

4649287680 is an abundant number, since it is smaller than the sum of its proper divisors (11896989120).

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

4649287680 is an equidigital number, since it uses as much as digits as its factorization.

4649287680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1095 (or 1061 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The square root of 4649287680 is about 68185.6853012419. The cubic root of 4649287680 is about 1669.0223017326.

The spelling of 4649287680 in words is "four billion, six hundred forty-nine million, two hundred eighty-seven thousand, six hundred eighty".