6113646000 has 720 divisors, whose sum is σ = 26890403904. Its totient is φ = 1267200000.

The previous prime is 6113645999. The next prime is 6113646023. The reversal of 6113646000 is 6463116.

6113646000 is a `hidden beast` number, since 6 + 1 + 13 + 646 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 143 ways as a sum of consecutive naturals, for example, 15245800 + ... + 15246200.

Almost surely, 2^6113646000 is an apocalyptic number.

6113646000 is a gapful number since it is divisible by the number (60) 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 6113646000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13445201952).

6113646000 is an abundant number, since it is smaller than the sum of its proper divisors (20776757904).

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

6113646000 is a wasteful number, since it uses less digits than its factorization.

6113646000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 6113646000 is about 78189.8075199063. The cubic root of 6113646000 is about 1828.5216045065.

The spelling of 6113646000 in words is "six billion, one hundred thirteen million, six hundred forty-six thousand".