5612736000 has 640 divisors, whose sum is σ = 20590682112. Its totient is φ = 1351680000.

The previous prime is 5612735939. The next prime is 5612736007. The reversal of 5612736000 is 6372165.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5612736007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 136895980 + ... + 136896020.

Almost surely, 2^5612736000 is an apocalyptic number.

5612736000 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 5612736000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10295341056).

5612736000 is an abundant number, since it is smaller than the sum of its proper divisors (14977946112).

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

5612736000 is a wasteful number, since it uses less digits than its factorization.

5612736000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 5612736000 is about 74918.1953867016. The cubic root of 5612736000 is about 1777.1532157922.

The spelling of 5612736000 in words is "five billion, six hundred twelve million, seven hundred thirty-six thousand".