5606064000 has 512 divisors, whose sum is σ = 21767616000. Its totient is φ = 1414195200.

The previous prime is 5606063989. The next prime is 5606064031. The reversal of 5606064000 is 4606065.

5606064000 is a `hidden beast` number, since 56 + 0 + 606 + 4 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8207659 + ... + 8208341.

It is an arithmetic number, because the mean of its divisors is an integer number (42514875).

Almost surely, 2^5606064000 is an apocalyptic number.

5606064000 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 5606064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10883808000).

5606064000 is an abundant number, since it is smaller than the sum of its proper divisors (16161552000).

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

5606064000 is a wasteful number, since it uses less digits than its factorization.

5606064000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 740 (or 712 counting only the distinct ones).

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

The square root of 5606064000 is about 74873.6535772097. The cubic root of 5606064000 is about 1776.4487543872.

The spelling of 5606064000 in words is "five billion, six hundred six million, sixty-four thousand".