648769680 has 120 divisors (see below), whose sum is σ = 2346417528. Its totient is φ = 159694848.

The previous prime is 648769679. The next prime is 648769699. The reversal of 648769680 is 86967846.

It can be written as a sum of positive squares in 4 ways, for example, as 134931456 + 513838224 = 11616^2 + 22668^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-3 number, since 3×648769680³ (a number of 27 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25297 + ... + 44016.

Almost surely, 2^648769680 is an apocalyptic number.

648769680 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

648769680 is an abundant number, since it is smaller than the sum of its proper divisors (1697647848).

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

648769680 is a wasteful number, since it uses less digits than its factorization.

648769680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69345 (or 69336 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The square root of 648769680 is about 25470.9575791724. The cubic root of 648769680 is about 865.6922210219.

It can be divided in two parts, 6487 and 69680, that added together give a palindrome (76167).

The spelling of 648769680 in words is "six hundred forty-eight million, seven hundred sixty-nine thousand, six hundred eighty".