450006563718720 has 672 divisors, whose sum is σ = 1665354359725056. Its totient is φ = 115541108121600.

The previous prime is 450006563718709. The next prime is 450006563718773. The reversal of 450006563718720 is 27817365600054.

450006563718720 is a `hidden beast` number, since 4 + 5 + 0 + 0 + 0 + 6 + 563 + 7 + 1 + 8 + 72 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 474406510 + ... + 475354130.

It is an arithmetic number, because the mean of its divisors is an integer number (2478205892448).

Almost surely, 2^{450006563718720} is an apocalyptic number.

450006563718720 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 450006563718720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (832677179862528).

450006563718720 is an abundant number, since it is smaller than the sum of its proper divisors (1215347796006336).

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

450006563718720 is a wasteful number, since it uses less digits than its factorization.

450006563718720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 947881 (or 947859 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 450006563718720 in words is "four hundred fifty trillion, six billion, five hundred sixty-three million, seven hundred eighteen thousand, seven hundred twenty".