444760673575680 has 5184 divisors, whose sum is σ = 2068799113543680. Its totient is φ = 91255552819200.

The previous prime is 444760673575649. The next prime is 444760673575721. The reversal of 444760673575680 is 86575376067444.

444760673575680 is a `hidden beast` number, since 4 + 4 + 4 + 7 + 6 + 0 + 6 + 7 + 3 + 57 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5184).

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 = 444760673575599 and 444760673575608.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 2107870490775 + ... + 2107870490985.

Almost surely, 2^{444760673575680} is an apocalyptic number.

444760673575680 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 444760673575680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1034399556771840).

444760673575680 is an abundant number, since it is smaller than the sum of its proper divisors (1624038439968000).

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

444760673575680 is a wasteful number, since it uses less digits than its factorization.

444760673575680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 2844979200, while the sum is 72.

The spelling of 444760673575680 in words is "four hundred forty-four trillion, seven hundred sixty billion, six hundred seventy-three million, five hundred seventy-five thousand, six hundred eighty".