66974557104 has 600 divisors, whose sum is σ = 250766533248. Its totient is φ = 17087293440.

The previous prime is 66974557061. The next prime is 66974557121. The reversal of 66974557104 is 40175547966.

66974557104 is a `hidden beast` number, since 6 + 6 + 9 + 74 + 557 + 10 + 4 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 25590804 + ... + 25593420.

Almost surely, 2^66974557104 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 66974557104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125383266624).

66974557104 is an abundant number, since it is smaller than the sum of its proper divisors (183791976144).

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

66974557104 is a wasteful number, since it uses less digits than its factorization.

66974557104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2695 (or 2673 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 66974557104 in words is "sixty-six billion, nine hundred seventy-four million, five hundred fifty-seven thousand, one hundred four".