447707682000 has 640 divisors, whose sum is σ = 1722296908800. Its totient is φ = 110767104000.

The previous prime is 447707681969. The next prime is 447707682007. The reversal of 447707682000 is 286707744.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (447707682007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 65174566 + ... + 65181434.

It is an arithmetic number, because the mean of its divisors is an integer number (2691088920).

Almost surely, 2^447707682000 is an apocalyptic number.

447707682000 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 447707682000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (861148454400).

447707682000 is an abundant number, since it is smaller than the sum of its proper divisors (1274589226800).

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

447707682000 is a wasteful number, since it uses less digits than its factorization.

447707682000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6989 (or 6967 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 45.

The spelling of 447707682000 in words is "four hundred forty-seven billion, seven hundred seven million, six hundred eighty-two thousand".