6561141696000 has 640 divisors, whose sum is σ = 24600145489920. Its totient is φ = 1723493376000.

The previous prime is 6561141695989. The next prime is 6561141696013. The reversal of 6561141696000 is 6961411656.

6561141696000 is a `hidden beast` number, since 6 + 561 + 14 + 16 + 9 + 60 + 0 + 0 = 666.

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 (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 115747665 + ... + 115804335.

It is an arithmetic number, because the mean of its divisors is an integer number (38437727328).

Almost surely, 2^{6561141696000} is an apocalyptic number.

6561141696000 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 6561141696000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12300072744960).

6561141696000 is an abundant number, since it is smaller than the sum of its proper divisors (18039003793920).

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

6561141696000 is an equidigital number, since it uses as much as digits as its factorization.

6561141696000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56780 (or 56748 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 6561141696000 in words is "six trillion, five hundred sixty-one billion, one hundred forty-one million, six hundred ninety-six thousand".