5742916200 has 672 divisors, whose sum is σ = 24298176960. Its totient is φ = 1231718400.

The previous prime is 5742916181. The next prime is 5742916211. The reversal of 5742916200 is 26192475.

5742916200 is a `hidden beast` number, since 5 + 7 + 4 + 29 + 1 + 620 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 17350035 + ... + 17350365.

Almost surely, 2^5742916200 is an apocalyptic number.

5742916200 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 5742916200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12149088480).

5742916200 is an abundant number, since it is smaller than the sum of its proper divisors (18555260760).

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

5742916200 is a wasteful number, since it uses less digits than its factorization.

5742916200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 5742916200 is about 75782.0308516471. The cubic root of 5742916200 is about 1790.7879347912.

The spelling of 5742916200 in words is "five billion, seven hundred forty-two million, nine hundred sixteen thousand, two hundred".