5674897200 has 720 divisors, whose sum is σ = 23207919360. Its totient is φ = 1157068800.

The previous prime is 5674897099. The next prime is 5674897223. The reversal of 5674897200 is 27984765.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 5674897200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 153375582 + ... + 153375618.

Almost surely, 2^5674897200 is an apocalyptic number.

5674897200 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 5674897200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11603959680).

5674897200 is an abundant number, since it is smaller than the sum of its proper divisors (17533022160).

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

5674897200 is a wasteful number, since it uses less digits than its factorization.

5674897200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 48.

The square root of 5674897200 is about 75331.9135559425. The cubic root of 5674897200 is about 1783.6898168380.

The spelling of 5674897200 in words is "five billion, six hundred seventy-four million, eight hundred ninety-seven thousand, two hundred".