447776677744 has 160 divisors (see below), whose sum is σ = 989846645760. Its totient is φ = 194434560000.

The previous prime is 447776677717. The next prime is 447776677759.

447776677744 is nontrivially palindromic in base 10.

It is a zygodrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 115374684 + ... + 115378564.

It is an arithmetic number, because the mean of its divisors is an integer number (6186541536).

Almost surely, 2^447776677744 is an apocalyptic number.

447776677744 is a gapful number since it is divisible by the number (44) 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 447776677744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494923322880).

447776677744 is an abundant number, since it is smaller than the sum of its proper divisors (542069968016).

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

447776677744 is a wasteful number, since it uses less digits than its factorization.

447776677744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4271 (or 4265 counting only the distinct ones).

The product of its digits is 1084253184, while the sum is 70.

The spelling of 447776677744 in words is "four hundred forty-seven billion, seven hundred seventy-six million, six hundred seventy-seven thousand, seven hundred forty-four".