5613782000 has 80 divisors (see below), whose sum is σ = 13709015424. Its totient is φ = 2223200000.

The previous prime is 5613781991. The next prime is 5613782023. The reversal of 5613782000 is 2873165.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 188105 + ... + 215895.

Almost surely, 2^5613782000 is an apocalyptic number.

5613782000 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 5613782000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6854507712).

5613782000 is an abundant number, since it is smaller than the sum of its proper divisors (8095233424).

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

5613782000 is a wasteful number, since it uses less digits than its factorization.

5613782000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27915 (or 27899 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 5613782000 is about 74925.1760091359. The cubic root of 5613782000 is about 1777.2636068029.

The spelling of 5613782000 in words is "five billion, six hundred thirteen million, seven hundred eighty-two thousand".