444910720680 has 512 divisors, whose sum is σ = 1586317824000. Its totient is φ = 110597114880.

The previous prime is 444910720673. The next prime is 444910720687. The reversal of 444910720680 is 86027019444.

444910720680 is a `hidden beast` number, since 4 + 449 + 107 + 20 + 6 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (444910720673) and next prime (444910720687).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (444910720687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 382553779 + ... + 382554941.

It is an arithmetic number, because the mean of its divisors is an integer number (3098277000).

Almost surely, 2^444910720680 is an apocalyptic number.

444910720680 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 444910720680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (793158912000).

444910720680 is an abundant number, since it is smaller than the sum of its proper divisors (1141407103320).

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

444910720680 is a wasteful number, since it uses less digits than its factorization.

444910720680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1486 (or 1476 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 444910720680 in words is "four hundred forty-four billion, nine hundred ten million, seven hundred twenty thousand, six hundred eighty".