5665631400 has 1152 divisors, whose sum is σ = 24935904000. Its totient is φ = 1170892800.

The previous prime is 5665631369. The next prime is 5665631431. The reversal of 5665631400 is 41365665.

5665631400 is a `hidden beast` number, since 56 + 6 + 563 + 1 + 40 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5665631369) and next prime (5665631431).

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 287 ways as a sum of consecutive naturals, for example, 195366586 + ... + 195366614.

It is an arithmetic number, because the mean of its divisors is an integer number (21645750).

Almost surely, 2^5665631400 is an apocalyptic number.

5665631400 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 5665631400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12467952000).

5665631400 is an abundant number, since it is smaller than the sum of its proper divisors (19270272600).

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

5665631400 is a wasteful number, since it uses less digits than its factorization.

5665631400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 5665631400 is about 75270.3886000331. The cubic root of 5665631400 is about 1782.7185031273.

The spelling of 5665631400 in words is "five billion, six hundred sixty-five million, six hundred thirty-one thousand, four hundred".