648065664000 has 1408 divisors, whose sum is σ = 2589808066560. Its totient is φ = 159363072000.

The previous prime is 648065663899. The next prime is 648065664007. The reversal of 648065664000 is 466560846.

648065664000 is a `hidden beast` number, since 6 + 4 + 80 + 6 + 566 + 4 + 0 + 0 + 0 = 666.

It is a super-3 number, since 3×648065664000³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (648065664007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2464127869 + ... + 2464128131.

It is an arithmetic number, because the mean of its divisors is an integer number (1839352320).

Almost surely, 2^648065664000 is an apocalyptic number.

648065664000 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 648065664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1294904033280).

648065664000 is an abundant number, since it is smaller than the sum of its proper divisors (1941742402560).

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

648065664000 is a wasteful number, since it uses less digits than its factorization.

648065664000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 648065664000 in words is "six hundred forty-eight billion, sixty-five million, six hundred sixty-four thousand".