5646960000 has 960 divisors, whose sum is σ = 23860362240. Its totient is φ = 1267200000.

The previous prime is 5646959987. The next prime is 5646960013. The reversal of 5646960000 is 696465.

It is a happy number.

5646960000 is a `hidden beast` number, since 5 + 6 + 46 + 9 + 600 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5646959987) and next prime (5646960013).

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 182159985 + ... + 182160015.

It is an arithmetic number, because the mean of its divisors is an integer number (24854544).

Almost surely, 2^5646960000 is an apocalyptic number.

5646960000 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 5646960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11930181120).

5646960000 is an abundant number, since it is smaller than the sum of its proper divisors (18213402240).

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

5646960000 is a wasteful number, since it uses less digits than its factorization.

5646960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 5646960000 is about 75146.2573918356. The cubic root of 5646960000 is about 1780.7579989271.

The spelling of 5646960000 in words is "five billion, six hundred forty-six million, nine hundred sixty thousand".