66475250688 has 704 divisors, whose sum is σ = 238606442496. Its totient is φ = 15925248000.

The previous prime is 66475250687. The next prime is 66475250701. The reversal of 66475250688 is 88605257466.

66475250688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (704).

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66475250687) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 245295993 + ... + 245296263.

Almost surely, 2^66475250688 is an apocalyptic number.

66475250688 is a gapful number since it is divisible by the number (68) 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 66475250688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119303221248).

66475250688 is an abundant number, since it is smaller than the sum of its proper divisors (172131191808).

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

66475250688 is a wasteful number, since it uses less digits than its factorization.

66475250688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 57.

The spelling of 66475250688 in words is "sixty-six billion, four hundred seventy-five million, two hundred fifty thousand, six hundred eighty-eight".