5704166400 has 396 divisors, whose sum is σ = 20104700568. Its totient is φ = 1426063360.

The previous prime is 5704166389. The next prime is 5704166411. The reversal of 5704166400 is 46614075.

It is an interprime number because it is at equal distance from previous prime (5704166389) and next prime (5704166411).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 22195072 + ... + 22195328.

Almost surely, 2^5704166400 is an apocalyptic number.

5704166400 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 5704166400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10052350284).

5704166400 is an abundant number, since it is smaller than the sum of its proper divisors (14400534168).

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

5704166400 is a wasteful number, since it uses less digits than its factorization.

5704166400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 5704166400 is about 75525.9319704166. The cubic root of 5704166400 is about 1786.7511160301.

The spelling of 5704166400 in words is "five billion, seven hundred four million, one hundred sixty-six thousand, four hundred".