66745691083008 has 864 divisors, whose sum is σ = 244157480985600. Its totient is φ = 17760161046528.

The previous prime is 66745691083003. The next prime is 66745691083033. The reversal of 66745691083008 is 80038019654766.

66745691083008 is a `hidden beast` number, since 6 + 67 + 4 + 569 + 1 + 0 + 8 + 3 + 0 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (66745691083003) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 488077810 + ... + 488214542.

Almost surely, 2^{66745691083008} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66745691083008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122078740492800).

66745691083008 is an abundant number, since it is smaller than the sum of its proper divisors (177411789902592).

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

66745691083008 is a wasteful number, since it uses less digits than its factorization.

66745691083008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136849 (or 136823 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

It can be divided in two parts, 6674569 and 1083008, that added together give a palindrome (7757577).

The spelling of 66745691083008 in words is "sixty-six trillion, seven hundred forty-five billion, six hundred ninety-one million, eighty-three thousand, eight".