648346776 has 256 divisors, whose sum is σ = 2128896000. Its totient is φ = 159667200.

The previous prime is 648346763. The next prime is 648346789. The reversal of 648346776 is 677643846.

648346776 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (648346763) and next prime (648346789).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3257925 + ... + 3258123.

It is an arithmetic number, because the mean of its divisors is an integer number (8316000).

Almost surely, 2^648346776 is an apocalyptic number.

648346776 is a gapful number since it is divisible by the number (66) 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 648346776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1064448000).

648346776 is an abundant number, since it is smaller than the sum of its proper divisors (1480549224).

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

648346776 is a wasteful number, since it uses less digits than its factorization.

648346776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 306 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 51.

The square root of 648346776 is about 25462.6545356135. The cubic root of 648346776 is about 865.5040780942.

The spelling of 648346776 in words is "six hundred forty-eight million, three hundred forty-six thousand, seven hundred seventy-six".