5641609681764 has 576 divisors, whose sum is σ = 18644100034560. Its totient is φ = 1454413086720.

The previous prime is 5641609681739. The next prime is 5641609681789. The reversal of 5641609681764 is 4671869061465.

It is a happy number.

5641609681764 is a `hidden beast` number, since 5 + 6 + 4 + 1 + 609 + 6 + 8 + 17 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (5641609681739) and next prime (5641609681789).

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

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, 716572932 + ... + 716580804.

Almost surely, 2^{5641609681764} is an apocalyptic number.

5641609681764 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 5641609681764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9322050017280).

5641609681764 is an abundant number, since it is smaller than the sum of its proper divisors (13002490352796).

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

5641609681764 is a wasteful number, since it uses less digits than its factorization.

5641609681764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8182 (or 8168 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 5641609681764 in words is "five trillion, six hundred forty-one billion, six hundred nine million, six hundred eighty-one thousand, seven hundred sixty-four".