445343276206080 has 7680 divisors, whose sum is σ = 2156451268608000. Its totient is φ = 86523783413760.

The previous prime is 445343276206067. The next prime is 445343276206117. The reversal of 445343276206080 is 80602672343544.

445343276206080 is a `hidden beast` number, since 4 + 4 + 5 + 3 + 4 + 3 + 2 + 7 + 6 + 20 + 608 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (7680).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 6646914570207 + ... + 6646914570273.

It is an arithmetic number, because the mean of its divisors is an integer number (280787925600).

Almost surely, 2^{445343276206080} is an apocalyptic number.

445343276206080 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 445343276206080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1078225634304000).

445343276206080 is an abundant number, since it is smaller than the sum of its proper divisors (1711107992401920).

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

445343276206080 is a wasteful number, since it uses less digits than its factorization.

445343276206080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 54.

The spelling of 445343276206080 in words is "four hundred forty-five trillion, three hundred forty-three billion, two hundred seventy-six million, two hundred six thousand, eighty".