5718446400 has 168 divisors, whose sum is σ = 19865157120. Its totient is φ = 1435197440.

The previous prime is 5718446389. The next prime is 5718446413. The reversal of 5718446400 is 46448175.

It is a super-3 number, since 3×5718446400³ (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46561 + ... + 116639.

Almost surely, 2^5718446400 is an apocalyptic number.

5718446400 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 5718446400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9932578560).

5718446400 is an abundant number, since it is smaller than the sum of its proper divisors (14146710720).

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

5718446400 is a wasteful number, since it uses less digits than its factorization.

5718446400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70121 (or 70106 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 39.

The square root of 5718446400 is about 75620.4099433480. The cubic root of 5718446400 is about 1788.2408776169.

The spelling of 5718446400 in words is "five billion, seven hundred eighteen million, four hundred forty-six thousand, four hundred".