646132101120 has 1872 divisors, whose sum is σ = 2712352013280. Its totient is φ = 147149291520.

The previous prime is 646132101113. The next prime is 646132101179. The reversal of 646132101120 is 21101231646.

It is a happy number.

646132101120 is a `hidden beast` number, since 6 + 4 + 613 + 2 + 10 + 11 + 20 = 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 143 ways as a sum of consecutive naturals, for example, 17463029742 + ... + 17463029778.

It is an arithmetic number, because the mean of its divisors is an integer number (1448905990).

Almost surely, 2^646132101120 is an apocalyptic number.

646132101120 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 646132101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1356176006640).

646132101120 is an abundant number, since it is smaller than the sum of its proper divisors (2066219912160).

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

646132101120 is a wasteful number, since it uses less digits than its factorization.

646132101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 646132101120 its reverse (21101231646), we get a palindrome (667233332766).

The spelling of 646132101120 in words is "six hundred forty-six billion, one hundred thirty-two million, one hundred one thousand, one hundred twenty".