5661734400 has 1080 divisors, whose sum is σ = 25379279640. Its totient is φ = 1197342720.

The previous prime is 5661734371. The next prime is 5661734443. The reversal of 5661734400 is 44371665.

It is a happy number.

5661734400 is a `hidden beast` number, since 5 + 6 + 617 + 34 + 4 + 0 + 0 = 666.

It is a super-2 number, since 2×5661734400² = 64110472832286720000, 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 polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 95961571 + ... + 95961629.

It is an arithmetic number, because the mean of its divisors is an integer number (23499333).

Almost surely, 2^5661734400 is an apocalyptic number.

5661734400 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 5661734400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12689639820).

5661734400 is an abundant number, since it is smaller than the sum of its proper divisors (19717545240).

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

5661734400 is a wasteful number, since it uses less digits than its factorization.

5661734400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 5661734400 is about 75244.4974732372. The cubic root of 5661734400 is about 1782.3096727033.

The spelling of 5661734400 in words is "five billion, six hundred sixty-one million, seven hundred thirty-four thousand, four hundred".