5674082400 has 540 divisors, whose sum is σ = 24084075708. Its totient is φ = 1296207360.

The previous prime is 5674082383. The next prime is 5674082413. The reversal of 5674082400 is 42804765.

5674082400 is a `hidden beast` number, since 5 + 6 + 7 + 408 + 240 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (540).

It is a super-2 number, since 2×5674082400² = 64390422163979520000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 3174307 + ... + 3176093.

Almost surely, 2^5674082400 is an apocalyptic number.

5674082400 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 5674082400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12042037854).

5674082400 is an abundant number, since it is smaller than the sum of its proper divisors (18409993308).

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

5674082400 is a wasteful number, since it uses less digits than its factorization.

5674082400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1833 (or 1804 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 5674082400 is about 75326.5052952810. The cubic root of 5674082400 is about 1783.6044455396.

The spelling of 5674082400 in words is "five billion, six hundred seventy-four million, eighty-two thousand, four hundred".