646045545600 has 1536 divisors, whose sum is σ = 2937411993600. Its totient is φ = 135026196480.

The previous prime is 646045545599. The next prime is 646045545611. The reversal of 646045545600 is 6545540646.

646045545600 is a `hidden beast` number, since 6 + 4 + 6 + 0 + 45 + 545 + 60 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 998524477 + ... + 998525123.

It is an arithmetic number, because the mean of its divisors is an integer number (1912377600).

Almost surely, 2^646045545600 is an apocalyptic number.

646045545600 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 646045545600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1468705996800).

646045545600 is an abundant number, since it is smaller than the sum of its proper divisors (2291366448000).

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

646045545600 is a wasteful number, since it uses less digits than its factorization.

646045545600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 827 (or 804 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 45.

The spelling of 646045545600 in words is "six hundred forty-six billion, forty-five million, five hundred forty-five thousand, six hundred".