5674536000 has 784 divisors, whose sum is σ = 24253057920. Its totient is φ = 1287705600.

The previous prime is 5674535983. The next prime is 5674536061. The reversal of 5674536000 is 6354765.

5674536000 is a `hidden beast` number, since 5 + 6 + 7 + 45 + 3 + 600 + 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 polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 40823931 + ... + 40824069.

Almost surely, 2^5674536000 is an apocalyptic number.

5674536000 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 5674536000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12126528960).

5674536000 is an abundant number, since it is smaller than the sum of its proper divisors (18578521920).

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

5674536000 is an equidigital number, since it uses as much as digits as its factorization.

5674536000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 5674536000 is about 75329.5161274782. The cubic root of 5674536000 is about 1783.6519728378.

The spelling of 5674536000 in words is "five billion, six hundred seventy-four million, five hundred thirty-six thousand".