5674649400 has 480 divisors, whose sum is σ = 22736461440. Its totient is φ = 1284906240.

The previous prime is 5674649381. The next prime is 5674649437. The reversal of 5674649400 is 49464765.

5674649400 is a `hidden beast` number, since 567 + 4 + 6 + 49 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 18484047 + ... + 18484353.

It is an arithmetic number, because the mean of its divisors is an integer number (47367628).

Almost surely, 2^5674649400 is an apocalyptic number.

5674649400 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 5674649400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11368230720).

5674649400 is an abundant number, since it is smaller than the sum of its proper divisors (17061812040).

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

5674649400 is a wasteful number, since it uses less digits than its factorization.

5674649400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 5674649400 is about 75330.2688167247. The cubic root of 5674649400 is about 1783.6638542666.

The spelling of 5674649400 in words is "five billion, six hundred seventy-four million, six hundred forty-nine thousand, four hundred".