447783678342 has 384 divisors, whose sum is σ = 1373718528000. Its totient is φ = 101523767040.

The previous prime is 447783678337. The next prime is 447783678373. The reversal of 447783678342 is 243876387744.

447783678342 is a `hidden beast` number, since 4 + 477 + 83 + 6 + 7 + 83 + 4 + 2 = 666.

It is a super-3 number, since 3×447783678342³ (a number of 36 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 447783678342.

It is a congruent number.

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, 287224159 + ... + 287225717.

It is an arithmetic number, because the mean of its divisors is an integer number (3577392000).

Almost surely, 2^447783678342 is an apocalyptic number.

447783678342 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 447783678342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686859264000).

447783678342 is an abundant number, since it is smaller than the sum of its proper divisors (925934849658).

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

447783678342 is a wasteful number, since it uses less digits than its factorization.

447783678342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2456 (or 2453 counting only the distinct ones).

The product of its digits is 151732224, while the sum is 63.

The spelling of 447783678342 in words is "four hundred forty-seven billion, seven hundred eighty-three million, six hundred seventy-eight thousand, three hundred forty-two".