5461344000 has 1080 divisors, whose sum is σ = 24191255088. Its totient is φ = 1219276800.

The previous prime is 5461343989. The next prime is 5461344011. The reversal of 5461344000 is 4431645.

5461344000 is a `hidden beast` number, since 5 + 4 + 613 + 4 + 40 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5461343989) and next prime (5461344011).

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 127007979 + ... + 127008021.

Almost surely, 2^5461344000 is an apocalyptic number.

5461344000 is a gapful number since it is divisible by the number (50) 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 5461344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12095627544).

5461344000 is an abundant number, since it is smaller than the sum of its proper divisors (18729911088).

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

5461344000 is an equidigital number, since it uses as much as digits as its factorization.

5461344000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 5461344000 is about 73900.9066250205. The cubic root of 5461344000 is about 1761.0290125789.

Adding to 5461344000 its reverse (4431645), we get a palindrome (5465775645).

The spelling of 5461344000 in words is "five billion, four hundred sixty-one million, three hundred forty-four thousand".