66073480704 has 1120 divisors, whose sum is σ = 261912879360. Its totient is φ = 16258682880.

The previous prime is 66073480703. The next prime is 66073480721. The reversal of 66073480704 is 40708437066.

66073480704 is a `hidden beast` number, since 6 + 607 + 34 + 8 + 0 + 7 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 66073480704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66073480703) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 3477551607 + ... + 3477551625.

Almost surely, 2^66073480704 is an apocalyptic number.

66073480704 is a gapful number since it is divisible by the number (64) 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 66073480704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130956439680).

66073480704 is an abundant number, since it is smaller than the sum of its proper divisors (195839398656).

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

66073480704 is an frugal number, since it uses more digits than its factorization.

66073480704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 66073480704 in words is "sixty-six billion, seventy-three million, four hundred eighty thousand, seven hundred four".