5674996800 has 378 divisors, whose sum is σ = 22177443834. Its totient is φ = 1375334400.

The previous prime is 5674996777. The next prime is 5674996807. The reversal of 5674996800 is 86994765.

It can be written as a sum of positive squares in 3 ways, for example, as 1071645696 + 4603351104 = 32736^2 + 67848^2 .

It is not an unprimeable number, because it can be changed into a prime (5674996807) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1740772 + ... + 1744028.

Almost surely, 2^5674996800 is an apocalyptic number.

5674996800 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 5674996800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11088721917).

5674996800 is an abundant number, since it is smaller than the sum of its proper divisors (16502447034).

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

5674996800 is a wasteful number, since it uses less digits than its factorization.

5674996800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3307 (or 3278 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The square root of 5674996800 is about 75332.5746274479. The cubic root of 5674996800 is about 1783.7002519442.

The spelling of 5674996800 in words is "five billion, six hundred seventy-four million, nine hundred ninety-six thousand, eight hundred".