6568752960000 has 2400 divisors, whose sum is σ = 31109701708800. Its totient is φ = 1292267520000.

The previous prime is 6568752959999. The next prime is 6568752960001. The reversal of 6568752960000 is 692578656.

It is a happy number.

6568752960000 is a `hidden beast` number, since 6 + 5 + 6 + 8 + 7 + 5 + 29 + 600 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6568752959999) and next prime (6568752960001).

It is a tau number, because it is divible by the number of its divisors (2400).

It is not an unprimeable number, because it can be changed into a prime (6568752960001) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 4213439221 + ... + 4213440779.

It is an arithmetic number, because the mean of its divisors is an integer number (12962375712).

Almost surely, 2^{6568752960000} is an apocalyptic number.

6568752960000 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 6568752960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15554850854400).

6568752960000 is an abundant number, since it is smaller than the sum of its proper divisors (24540948748800).

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

6568752960000 is a wasteful number, since it uses less digits than its factorization.

6568752960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1640 (or 1606 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 6568752960000 in words is "six trillion, five hundred sixty-eight billion, seven hundred fifty-two million, nine hundred sixty thousand".