5660006400 has 432 divisors, whose sum is σ = 20674770480. Its totient is φ = 1479475200.

The previous prime is 5660006393. The next prime is 5660006437. The reversal of 5660006400 is 46000665.

5660006400 is a `hidden beast` number, since 56 + 600 + 0 + 6 + 4 + 0 + 0 = 666.

It is a super-3 number, since 3×5660006400³ (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 32716714 + ... + 32716886.

It is an arithmetic number, because the mean of its divisors is an integer number (47858265).

Almost surely, 2^5660006400 is an apocalyptic number.

5660006400 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 5660006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10337385240).

5660006400 is an abundant number, since it is smaller than the sum of its proper divisors (15014764080).

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

5660006400 is a wasteful number, since it uses less digits than its factorization.

5660006400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 5660006400 is about 75233.0140297463. The cubic root of 5660006400 is about 1782.1283298921.

The spelling of 5660006400 in words is "five billion, six hundred sixty million, six thousand, four hundred".