66108607660800 has 1728 divisors, whose sum is σ = 266958513561600. Its totient is φ = 15933509222400.

The previous prime is 66108607660763. The next prime is 66108607660847. The reversal of 66108607660800 is 806670680166.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 37077176709 + ... + 37077178491.

Almost surely, 2^{66108607660800} is an apocalyptic number.

66108607660800 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 66108607660800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133479256780800).

66108607660800 is an abundant number, since it is smaller than the sum of its proper divisors (200849905900800).

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

66108607660800 is a wasteful number, since it uses less digits than its factorization.

66108607660800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2351 (or 2326 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 66108607660800 in words is "sixty-six trillion, one hundred eight billion, six hundred seven million, six hundred sixty thousand, eight hundred".