6566646240000 has 2880 divisors, whose sum is σ = 31876196352000. Its totient is φ = 1291438080000.

The previous prime is 6566646239977. The next prime is 6566646240017. The reversal of 6566646240000 is 426466656.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-2 number, since 2×6566646240000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 6320159481 + ... + 6320160519.

Almost surely, 2^{6566646240000} is an apocalyptic number.

6566646240000 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 6566646240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15938098176000).

6566646240000 is an abundant number, since it is smaller than the sum of its proper divisors (25309550112000).

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

6566646240000 is a wasteful number, since it uses less digits than its factorization.

6566646240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1121 (or 1086 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 6566646240000 in words is "six trillion, five hundred sixty-six billion, six hundred forty-six million, two hundred forty thousand".