648929710080 has 156 divisors (see below), whose sum is σ = 2249349021660. Its totient is φ = 173047873536.

The previous prime is 648929710063. The next prime is 648929710103. The reversal of 648929710080 is 80017929846.

It can be written as a sum of positive squares in 2 ways, for example, as 305552461824 + 343377248256 = 552768^2 + 585984^2 .

It is a super-2 number, since 2×648929710080² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 648929709999 and 648929710026.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1576015 + ... + 1944654.

It is an arithmetic number, because the mean of its divisors is an integer number (14418903985).

Almost surely, 2^648929710080 is an apocalyptic number.

648929710080 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

648929710080 is an abundant number, since it is smaller than the sum of its proper divisors (1600419311580).

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

648929710080 is a wasteful number, since it uses less digits than its factorization.

648929710080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3520704 (or 3520679 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 648929710080 in words is "six hundred forty-eight billion, nine hundred twenty-nine million, seven hundred ten thousand, eighty".