646050045600 has 216 divisors, whose sum is σ = 2278875205152. Its totient is φ = 172223961600.

The previous prime is 646050045583. The next prime is 646050045611. The reversal of 646050045600 is 6540050646.

It is a happy number.

646050045600 is a `hidden beast` number, since 6 + 4 + 6 + 0 + 5 + 0 + 0 + 45 + 600 = 666.

646050045600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×646050045600² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 25122349 + ... + 25148051.

It is an arithmetic number, because the mean of its divisors is an integer number (10550348172).

Almost surely, 2^646050045600 is an apocalyptic number.

646050045600 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 646050045600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1139437602576).

646050045600 is an abundant number, since it is smaller than the sum of its proper divisors (1632825159552).

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

646050045600 is a wasteful number, since it uses less digits than its factorization.

646050045600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29220 (or 29204 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 646050045600 in words is "six hundred forty-six billion, fifty million, forty-five thousand, six hundred".