5626404000 has 576 divisors, whose sum is σ = 23181500160. Its totient is φ = 1265817600.

The previous prime is 5626403977. The next prime is 5626404011. The reversal of 5626404000 is 4046265.

It is a happy number.

5626404000 is a `hidden beast` number, since 562 + 64 + 0 + 40 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20915866 + ... + 20916134.

It is an arithmetic number, because the mean of its divisors is an integer number (40245660).

Almost surely, 2^5626404000 is an apocalyptic number.

5626404000 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 5626404000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11590750080).

5626404000 is an abundant number, since it is smaller than the sum of its proper divisors (17555096160).

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

5626404000 is a wasteful number, since it uses less digits than its factorization.

5626404000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 5626404000 is about 75009.3594160089. The cubic root of 5626404000 is about 1778.5946066974.

The spelling of 5626404000 in words is "five billion, six hundred twenty-six million, four hundred four thousand".