445728689602560 has 5760 divisors, whose sum is σ = 2082072178851840. Its totient is φ = 89595190444032.

The previous prime is 445728689602543. The next prime is 445728689602597. The reversal of 445728689602560 is 65206986827544.

445728689602560 is a `hidden beast` number, since 4 + 4 + 5 + 7 + 2 + 8 + 6 + 8 + 9 + 602 + 5 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3509674721217 + ... + 3509674721343.

It is an arithmetic number, because the mean of its divisors is an integer number (361470864384).

Almost surely, 2^{445728689602560} is an apocalyptic number.

445728689602560 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 445728689602560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1041036089425920).

445728689602560 is an abundant number, since it is smaller than the sum of its proper divisors (1636343489249280).

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

445728689602560 is a wasteful number, since it uses less digits than its factorization.

445728689602560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 1393459200, while the sum is 72.

The spelling of 445728689602560 in words is "four hundred forty-five trillion, seven hundred twenty-eight billion, six hundred eighty-nine million, six hundred two thousand, five hundred sixty".