5641314624 has 168 divisors, whose sum is σ = 18568598880. Its totient is φ = 1619481600.

The previous prime is 5641314617. The next prime is 5641314641. The reversal of 5641314624 is 4264131465.

5641314624 is a `hidden beast` number, since 5 + 6 + 4 + 13 + 14 + 624 = 666.

It is a super-2 number, since 2×5641314624² = 63648861373912522752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96954 + ... + 143814.

Almost surely, 2^5641314624 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 5641314624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9284299440).

5641314624 is an abundant number, since it is smaller than the sum of its proper divisors (12927284256).

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

5641314624 is a wasteful number, since it uses less digits than its factorization.

5641314624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46909 (or 46896 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 5641314624 is about 75108.6854098779. The cubic root of 5641314624 is about 1780.1643815703.

The spelling of 5641314624 in words is "five billion, six hundred forty-one million, three hundred fourteen thousand, six hundred twenty-four".