449680855680 has 1728 divisors, whose sum is σ = 1983914127000. Its totient is φ = 93491822592.

The previous prime is 449680855669. The next prime is 449680855739. The reversal of 449680855680 is 86558086944.

449680855680 is a `hidden beast` number, since 4 + 4 + 9 + 68 + 0 + 8 + 5 + 568 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 154675450944 + 295005404736 = 393288^2 + 543144^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 3017992246 + ... + 3017992394.

Almost surely, 2^449680855680 is an apocalyptic number.

449680855680 is a gapful number since it is divisible by the number (40) 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 449680855680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (991957063500).

449680855680 is an abundant number, since it is smaller than the sum of its proper divisors (1534233271320).

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

449680855680 is a wasteful number, since it uses less digits than its factorization.

449680855680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 66355200, while the sum is 63.

The spelling of 449680855680 in words is "four hundred forty-nine billion, six hundred eighty million, eight hundred fifty-five thousand, six hundred eighty".