646110976000 has 768 divisors, whose sum is σ = 1978154680320. Its totient is φ = 205612646400.

The previous prime is 646110975973. The next prime is 646110976039. The reversal of 646110976000 is 679011646.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3868927917 + ... + 3868928083.

It is an arithmetic number, because the mean of its divisors is an integer number (2575722240).

Almost surely, 2^646110976000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 646110976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (989077340160).

646110976000 is an abundant number, since it is smaller than the sum of its proper divisors (1332043704320).

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

646110976000 is a wasteful number, since it uses less digits than its factorization.

646110976000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 40.

Adding to 646110976000 its reverse (679011646), we get a palindrome (646789987646).

The spelling of 646110976000 in words is "six hundred forty-six billion, one hundred ten million, nine hundred seventy-six thousand".