5641274661984 has 384 divisors, whose sum is σ = 18914742604800. Its totient is φ = 1621254942720.

The previous prime is 5641274661937. The next prime is 5641274661989. The reversal of 5641274661984 is 4891664721465.

5641274661984 is a `hidden beast` number, since 5 + 6 + 4 + 1 + 2 + 7 + 4 + 6 + 619 + 8 + 4 = 666.

It is a super-4 number, since 4×5641274661984⁴ (a number of 52 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5641274661989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14965812 + ... + 15338124.

It is an arithmetic number, because the mean of its divisors is an integer number (49257142200).

Almost surely, 2^{5641274661984} is an apocalyptic number.

5641274661984 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 5641274661984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9457371302400).

5641274661984 is an abundant number, since it is smaller than the sum of its proper divisors (13273467942816).

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

5641274661984 is a wasteful number, since it uses less digits than its factorization.

5641274661984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372435 (or 372421 counting only the distinct ones).

The product of its digits is 69672960, while the sum is 63.

The spelling of 5641274661984 in words is "five trillion, six hundred forty-one billion, two hundred seventy-four million, six hundred sixty-one thousand, nine hundred eighty-four".