5645317676544 has 1920 divisors, whose sum is σ = 22462322319360. Its totient is φ = 1361608704000.

The previous prime is 5645317676423. The next prime is 5645317676567. The reversal of 5645317676544 is 4456767135465.

5645317676544 is a `hidden beast` number, since 5 + 6 + 4 + 5 + 3 + 17 + 6 + 76 + 544 = 666.

It is a super-2 number, since 2×5645317676544² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14078098744 + ... + 14078099144.

It is an arithmetic number, because the mean of its divisors is an integer number (11699126208).

Almost surely, 2^{5645317676544} is an apocalyptic number.

5645317676544 is a gapful number since it is divisible by the number (54) 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 5645317676544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11231161159680).

5645317676544 is an abundant number, since it is smaller than the sum of its proper divisors (16817004642816).

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

5645317676544 is a wasteful number, since it uses less digits than its factorization.

5645317676544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517 (or 476 counting only the distinct ones).

The product of its digits is 254016000, while the sum is 63.

The spelling of 5645317676544 in words is "five trillion, six hundred forty-five billion, three hundred seventeen million, six hundred seventy-six thousand, five hundred forty-four".