646440102000 has 1600 divisors, whose sum is σ = 3013225712640. Its totient is φ = 129620736000.

The previous prime is 646440101911. The next prime is 646440102023. The reversal of 646440102000 is 201044646.

646440102000 is a `hidden beast` number, since 6 + 4 + 6 + 440 + 10 + 200 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 361745107 + ... + 361746893.

Almost surely, 2^646440102000 is an apocalyptic number.

646440102000 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 646440102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1506612856320).

646440102000 is an abundant number, since it is smaller than the sum of its proper divisors (2366785610640).

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

646440102000 is a wasteful number, since it uses less digits than its factorization.

646440102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1869 (or 1844 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 646440102000 its reverse (201044646), we get a palindrome (646641146646).

The spelling of 646440102000 in words is "six hundred forty-six billion, four hundred forty million, one hundred two thousand".