845007721758720 has 4608 divisors, whose sum is σ = 3579404345164800. Its totient is φ = 188809740288000.

The previous prime is 845007721758659. The next prime is 845007721758727. The reversal of 845007721758720 is 27857127700548.

845007721758720 is a `hidden beast` number, since 8 + 4 + 5 + 0 + 0 + 7 + 7 + 21 + 7 + 587 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (4608).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (845007721758727) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 8366413086670 + ... + 8366413086770.

It is an arithmetic number, because the mean of its divisors is an integer number (776780456850).

Almost surely, 2^{845007721758720} is an apocalyptic number.

845007721758720 is a gapful number since it is divisible by the number (80) 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 845007721758720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1789702172582400).

845007721758720 is an abundant number, since it is smaller than the sum of its proper divisors (2734396623406080).

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

845007721758720 is a wasteful number, since it uses less digits than its factorization.

845007721758720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 61465600, while the sum is 63.

The spelling of 845007721758720 in words is "eight hundred forty-five trillion, seven billion, seven hundred twenty-one million, seven hundred fifty-eight thousand, seven hundred twenty".