645620448096 has 288 divisors, whose sum is σ = 2158367178240. Its totient is φ = 188196493824.

The previous prime is 645620448079. The next prime is 645620448101. The reversal of 645620448096 is 690844026546.

645620448096 is a `hidden beast` number, since 6 + 4 + 5 + 620 + 4 + 4 + 8 + 0 + 9 + 6 = 666.

645620448096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×645620448096³ (a number of 36 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1752601 + ... + 2088743.

It is an arithmetic number, because the mean of its divisors is an integer number (7494330480).

Almost surely, 2^645620448096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 645620448096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1079183589120).

645620448096 is an abundant number, since it is smaller than the sum of its proper divisors (1512746730144).

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

645620448096 is a wasteful number, since it uses less digits than its factorization.

645620448096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336200 (or 336180 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 645620448096 in words is "six hundred forty-five billion, six hundred twenty million, four hundred forty-eight thousand, ninety-six".