648967680 has 320 divisors, whose sum is σ = 2371723200. Its totient is φ = 168099840.

The previous prime is 648967661. The next prime is 648967691. The reversal of 648967680 is 86769846.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 2833806 + ... + 2834034.

It is an arithmetic number, because the mean of its divisors is an integer number (7411635).

Almost surely, 2^648967680 is an apocalyptic number.

648967680 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 648967680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1185861600).

648967680 is an abundant number, since it is smaller than the sum of its proper divisors (1722755520).

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

648967680 is a wasteful number, since it uses less digits than its factorization.

648967680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 280 counting only the distinct ones).

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

The square root of 648967680 is about 25474.8440623294. The cubic root of 648967680 is about 865.7802798151.

The spelling of 648967680 in words is "six hundred forty-eight million, nine hundred sixty-seven thousand, six hundred eighty".