66601237824000 has 1920 divisors, whose sum is σ = 287361629178624. Its totient is φ = 15195340800000.

The previous prime is 66601237823957. The next prime is 66601237824047. The reversal of 66601237824000 is 42873210666.

It is a tau number, because it is divible by the number of its divisors (1920).

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 191 ways as a sum of consecutive naturals, for example, 2908212550 + ... + 2908235450.

Almost surely, 2^{66601237824000} is an apocalyptic number.

66601237824000 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 66601237824000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143680814589312).

66601237824000 is an abundant number, since it is smaller than the sum of its proper divisors (220760391354624).

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

66601237824000 is a wasteful number, since it uses less digits than its factorization.

66601237824000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22977 (or 22939 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 66601237824000 in words is "sixty-six trillion, six hundred one billion, two hundred thirty-seven million, eight hundred twenty-four thousand".