648853896600 has 1536 divisors, whose sum is σ = 2857417113600. Its totient is φ = 131681894400.

The previous prime is 648853896599. The next prime is 648853896601. The reversal of 648853896600 is 6698358846.

648853896600 is a `hidden beast` number, since 6 + 4 + 8 + 8 + 538 + 96 + 6 + 0 + 0 = 666.

648853896600 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 (648853896599) and next prime (648853896601).

It is a super-3 number, since 3×648853896600³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (648853896601) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2309088460 + ... + 2309088740.

It is an arithmetic number, because the mean of its divisors is an integer number (1860297600).

Almost surely, 2^648853896600 is an apocalyptic number.

648853896600 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 648853896600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1428708556800).

648853896600 is an abundant number, since it is smaller than the sum of its proper divisors (2208563217000).

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

648853896600 is a wasteful number, since it uses less digits than its factorization.

648853896600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 63.

The spelling of 648853896600 in words is "six hundred forty-eight billion, eight hundred fifty-three million, eight hundred ninety-six thousand, six hundred".