447674568768 has 168 divisors, whose sum is σ = 1520804306112. Its totient is φ = 127906988544.

The previous prime is 447674568767. The next prime is 447674568797. The reversal of 447674568768 is 867865476744.

447674568768 is a `hidden beast` number, since 4 + 47 + 67 + 456 + 8 + 76 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×447674568768² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 447674568696 and 447674568705.

It is not an unprimeable number, because it can be changed into a prime (447674568767) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1947255 + ... + 2164982.

It is an arithmetic number, because the mean of its divisors is an integer number (9052406584).

Almost surely, 2^447674568768 is an apocalyptic number.

447674568768 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

447674568768 is an abundant number, since it is smaller than the sum of its proper divisors (1073129737344).

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

447674568768 is an equidigital number, since it uses as much as digits as its factorization.

447674568768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4112271 (or 4112249 counting only the distinct ones).

The product of its digits is 1517322240, while the sum is 72.

The spelling of 447674568768 in words is "four hundred forty-seven billion, six hundred seventy-four million, five hundred sixty-eight thousand, seven hundred sixty-eight".