445713051476760 has 128 divisors (see below), whose sum is σ = 1346034919656960. Its totient is φ = 118066126464000.

The previous prime is 445713051476741. The next prime is 445713051476783. The reversal of 445713051476760 is 67674150317544.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 445713051476694 and 445713051476703.

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, 630965919 + ... + 631671921.

It is an arithmetic number, because the mean of its divisors is an integer number (10515897809820).

Almost surely, 2^{445713051476760} is an apocalyptic number.

445713051476760 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 445713051476760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673017459828480).

445713051476760 is an abundant number, since it is smaller than the sum of its proper divisors (900321868180200).

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

445713051476760 is a wasteful number, since it uses less digits than its factorization.

445713051476760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 741009 (or 741005 counting only the distinct ones).

The product of its (nonzero) digits is 59270400, while the sum is 60.

The spelling of 445713051476760 in words is "four hundred forty-five trillion, seven hundred thirteen billion, fifty-one million, four hundred seventy-six thousand, seven hundred sixty".