447676025172000 has 192 divisors, whose sum is σ = 1467791789877504. Its totient is φ = 119282175590400.

The previous prime is 447676025171987. The next prime is 447676025172007. The reversal of 447676025172000 is 271520676744.

It is not an unprimeable number, because it can be changed into a prime (447676025172007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 723172 + ... + 29931171.

It is an arithmetic number, because the mean of its divisors is an integer number (7644748905612).

Almost surely, 2^{447676025172000} is an apocalyptic number.

447676025172000 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 447676025172000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733895894938752).

447676025172000 is an abundant number, since it is smaller than the sum of its proper divisors (1020115764705504).

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

447676025172000 is a wasteful number, since it uses less digits than its factorization.

447676025172000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30655588 (or 30655570 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 51.

The spelling of 447676025172000 in words is "four hundred forty-seven trillion, six hundred seventy-six billion, twenty-five million, one hundred seventy-two thousand".