5700326400 has 330 divisors, whose sum is σ = 21115316750. Its totient is φ = 1519534080.

The previous prime is 5700326393. The next prime is 5700326413. The reversal of 5700326400 is 46230075.

It is a happy number.

5700326400 is a `hidden beast` number, since 570 + 0 + 32 + 64 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 6718464 + 5693607936 = 2592^2 + 75456^2 .

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 29 ways as a sum of consecutive naturals, for example, 2072226 + ... + 2074974.

Almost surely, 2^5700326400 is an apocalyptic number.

5700326400 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 5700326400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10557658375).

5700326400 is an abundant number, since it is smaller than the sum of its proper divisors (15414990350).

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

5700326400 is a wasteful number, since it uses less digits than its factorization.

5700326400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2791 (or 2759 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 5700326400 is about 75500.5059585696. The cubic root of 5700326400 is about 1786.3500837554.

Adding to 5700326400 its reverse (46230075), we get a palindrome (5746556475).

The spelling of 5700326400 in words is "five billion, seven hundred million, three hundred twenty-six thousand, four hundred".