5644972270080 has 3840 divisors, whose sum is σ = 25944259461120. Its totient is φ = 1156173004800.

The previous prime is 5644972270079. The next prime is 5644972270081. The reversal of 5644972270080 is 800722794465.

5644972270080 is a `hidden beast` number, since 5 + 6 + 4 + 497 + 2 + 2 + 70 + 0 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (5644972270079) and next prime (5644972270081).

It is a tau number, because it is divible by the number of its divisors (3840).

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

It is a junction number, because it is equal to n+sod(n) for n = 5644972269999 and 5644972270026.

It is not an unprimeable number, because it can be changed into a prime (5644972270081) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 63426654676 + ... + 63426654764.

It is an arithmetic number, because the mean of its divisors is an integer number (6756317568).

Almost surely, 2^{5644972270080} 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 5644972270080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12972129730560).

5644972270080 is an abundant number, since it is smaller than the sum of its proper divisors (20299287191040).

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

5644972270080 is a wasteful number, since it uses less digits than its factorization.

5644972270080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 5644972270080 in words is "five trillion, six hundred forty-four billion, nine hundred seventy-two million, two hundred seventy thousand, eighty".